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12002011120 = 2451153277929
BaseRepresentation
bin10110010110110000…
…00010011111110000
31010222102220100002101
423023120002133300
5144040003323440
65302540430144
7603264261031
oct131330023760
933872810071
1012002011120
1150a9905660
1223ab548354
1311936ba038
1481bdc2a88
154a3a1b69a
hex2cb6027f0

12002011120 has 160 divisors (see below), whose sum is σ = 31161309120. Its totient is φ = 4261969920.

The previous prime is 12002011097. The next prime is 12002011157. The reversal of 12002011120 is 2111020021.

Adding to 12002011120 its reverse (2111020021), we get a palindrome (14113031141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12002011097 and 12002011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12918816 + ... + 12919744.

It is an arithmetic number, because the mean of its divisors is an integer number (194758182).

Almost surely, 212002011120 is an apocalyptic number.

12002011120 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 12002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580654560).

12002011120 is an abundant number, since it is smaller than the sum of its proper divisors (19159298000).

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

12002011120 is a wasteful number, since it uses less digits than its factorization.

12002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 12002011120 in words is "twelve billion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 277 424 440 530 554 583 848 880 929 1060 1108 1166 1385 1858 2120 2216 2332 2770 2915 3047 3716 4240 4432 4645 4664 5540 5830 6094 7432 9290 9328 10219 11080 11660 12188 14681 14864 15235 18580 20438 22160 23320 24376 29362 30470 37160 40876 46640 48752 49237 51095 58724 60940 73405 74320 81752 98474 102190 117448 121880 146810 161491 163504 196948 204380 234896 243760 246185 257333 293620 322982 393896 408760 492370 514666 541607 587240 645964 787792 807455 817520 984740 1029332 1083214 1174480 1286665 1291928 1614910 1969480 2058664 2166428 2573330 2583856 2708035 2830663 3229820 3938960 4117328 4332856 5146660 5416070 5661326 6459640 8665712 10293320 10832140 11322652 12919280 13638649 14153315 20586640 21664280 22645304 27277298 28306630 43328560 45290608 54554596 56613260 68193245 109109192 113226520 136386490 150025139 218218384 226453040 272772980 300050278 545545960 600100556 750125695 1091091920 1200201112 1500251390 2400402224 3000502780 6001005560 12002011120