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12255333000240 = 2435114679992129
BaseRepresentation
bin1011001001010110101011…
…0001010010010000110000
31121101121011020011102221010
42302111222301102100300
53101242410222001430
642022004450230520
72403263401501641
oct262255261222060
947347136142833
1012255333000240
1139a5503a8a070
12145b1ba285440
136ab8995c0905
143052387b56c8
15163bc901ccb0
hexb256ac52430

12255333000240 has 160 divisors (see below), whose sum is σ = 41454207475200. Its totient is φ = 2970351861760.

The previous prime is 12255333000233. The next prime is 12255333000241. The reversal of 12255333000240 is 4200033355221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12255333000198 and 12255333000207.

It is not an unprimeable number, because it can be changed into a prime (12255333000241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11856496 + ... + 12848624.

It is an arithmetic number, because the mean of its divisors is an integer number (259088796720).

Almost surely, 212255333000240 is an apocalyptic number.

12255333000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12255333000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727103737600).

12255333000240 is an abundant number, since it is smaller than the sum of its proper divisors (29198874474960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12255333000240 is a wasteful number, since it uses less digits than its factorization.

12255333000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996835 (or 996829 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 12255333000240 its reverse (4200033355221), we get a palindrome (16455366355461).

The spelling of 12255333000240 in words is "twelve trillion, two hundred fifty-five billion, three hundred thirty-three million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4679 9358 14037 18716 23395 28074 37432 46790 51469 56148 70185 74864 93580 102938 112296 140370 154407 187160 205876 224592 257345 280740 308814 374320 411752 514690 561480 617628 772035 823504 992129 1029380 1122960 1235256 1544070 1984258 2058760 2470512 2976387 3088140 3968516 4117520 4960645 5952774 6176280 7937032 9921290 10913419 11905548 12352560 14881935 15874064 19842580 21826838 23811096 29763870 32740257 39685160 43653676 47622192 54567095 59527740 65480514 79370320 87307352 109134190 119055480 130961028 163701285 174614704 218268380 238110960 261922056 327402570 436536760 523844112 654805140 873073520 1309610280 2619220560 4642171591 9284343182 13926514773 18568686364 23210857955 27853029546 37137372728 46421715910 51063887501 55706059092 69632573865 74274745456 92843431820 102127775002 111412118184 139265147730 153191662503 185686863640 204255550004 222824236368 255319437505 278530295460 306383325006 371373727280 408511100008 510638875010 557060590920 612766650012 765958312515 817022200016 1021277750020 1114121181840 1225533300024 1531916625030 2042555500040 2451066600048 3063833250060 4085111000080 6127666500120 12255333000240