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12212013300 = 22352233315347
BaseRepresentation
bin10110101111110010…
…01000100011110100
31011112002001112220220
423113321020203310
5200002233411200
65335441454340
7611424254214
oct132771104364
934462045826
1012212013300
1151a73aa383
1224499413b0
1311c8066b96
1483bc4a244
154b719e4a0
hex2d7e488f4

12212013300 has 144 divisors (see below), whose sum is σ = 36987965952. Its totient is φ = 3104956800.

The previous prime is 12212013293. The next prime is 12212013367. The reversal of 12212013300 is 331021221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212013300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281227 + ... + 2286573.

Almost surely, 212212013300 is an apocalyptic number.

12212013300 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 12212013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493982976).

12212013300 is an abundant number, since it is smaller than the sum of its proper divisors (24775952652).

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

12212013300 is a wasteful number, since it uses less digits than its factorization.

12212013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12212013300 its reverse (331021221), we get a palindrome (12543034521).

The spelling of 12212013300 in words is "twelve billion, two hundred twelve million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 331 345 460 575 662 690 993 1150 1324 1380 1655 1725 1986 2300 3310 3450 3972 4965 5347 6620 6900 7613 8275 9930 10694 15226 16041 16550 19860 21388 22839 24825 26735 30452 32082 33100 38065 45678 49650 53470 64164 76130 80205 91356 99300 106940 114195 122981 133675 152260 160410 190325 228390 245962 267350 320820 368943 380650 401025 456780 491924 534700 570975 614905 737886 761300 802050 1141950 1229810 1475772 1604100 1769857 1844715 2283900 2459620 3074525 3539714 3689430 5309571 6149050 7079428 7378860 8849285 9223575 10619142 12298100 17698570 18447150 21238284 26547855 35397140 36894300 40706711 44246425 53095710 81413422 88492850 106191420 122120133 132739275 162826844 176985700 203533555 244240266 265478550 407067110 488480532 530957100 610600665 814134220 1017667775 1221201330 2035335550 2442402660 3053003325 4070671100 6106006650 12212013300