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12201313032 = 23321791910847
BaseRepresentation
bin10110101110100000…
…10100001100001000
31011111022220220220200
423113100110030020
5144442014004112
65334420252200
7611234310126
oct132720241410
934438826820
1012201313032
1151a1361087
122446241060
1311c5a8b66c
1483a662916
154b6288cdc
hex2d7414308

12201313032 has 96 divisors (see below), whose sum is σ = 35030361600. Its totient is φ = 3823345152.

The previous prime is 12201313031. The next prime is 12201313039. The reversal of 12201313032 is 23031310221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12201312996 and 12201313014.

It is not an unprimeable number, because it can be changed into a prime (12201313031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119433 + ... + 1130279.

It is an arithmetic number, because the mean of its divisors is an integer number (364899600).

Almost surely, 212201313032 is an apocalyptic number.

12201313032 is a gapful number since it is divisible by the number (12) 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 12201313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515180800).

12201313032 is an abundant number, since it is smaller than the sum of its proper divisors (22829048568).

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

12201313032 is a wasteful number, since it uses less digits than its factorization.

12201313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12201313032 its reverse (23031310221), we get a palindrome (35232623253).

The spelling of 12201313032 in words is "twelve billion, two hundred one million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 919 1224 1838 2757 3676 5514 7352 8271 10847 11028 15623 16542 21694 22056 31246 32541 33084 43388 46869 62492 65082 66168 86776 93738 97623 124984 130164 140607 184399 187476 195246 260328 281214 368798 374952 390492 553197 562428 737596 780984 1106394 1124856 1475192 1659591 2212788 3319182 4425576 6638364 9968393 13276728 19936786 29905179 39873572 59810358 79747144 89715537 119620716 169462681 179431074 239241432 338925362 358862148 508388043 677850724 717724296 1016776086 1355701448 1525164129 2033552172 3050328258 4067104344 6100656516 12201313032