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12261119936 = 261317218563
BaseRepresentation
bin10110110101101000…
…11101011111000000
31011122111110102120012
423122310131133000
5200102321314221
65344354204052
7612561541232
oct133264353700
934574412505
1012261119936
11522209a97a
122462283628
13120529b770
14844590252
154bb64e65b
hex2dad1d7c0

12261119936 has 56 divisors (see below), whose sum is σ = 26220535824. Its totient is φ = 5655029760.

The previous prime is 12261119917. The next prime is 12261119939. The reversal of 12261119936 is 63991116221.

It is a junction number, because it is equal to n+sod(n) for n = 12261119893 and 12261119902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261119939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427591 + ... + 1436153.

It is an arithmetic number, because the mean of its divisors is an integer number (468223854).

Almost surely, 212261119936 is an apocalyptic number.

12261119936 is a gapful number since it is divisible by the number (16) 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 12261119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110267912).

12261119936 is an abundant number, since it is smaller than the sum of its proper divisors (13959415888).

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

12261119936 is a wasteful number, since it uses less digits than its factorization.

12261119936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10299 counting only the distinct ones).

The product of its digits is 34992, while the sum is 41.

The spelling of 12261119936 in words is "twelve billion, two hundred sixty-one million, one hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1721 3442 6884 8563 13768 17126 22373 27536 34252 44746 55072 68504 89492 110144 111319 137008 178984 222638 274016 357968 445276 548032 715936 890552 1431872 1781104 3562208 7124416 14736923 29473846 58947692 117895384 191579999 235790768 383159998 471581536 766319996 943163072 1532639992 3065279984 6130559968 12261119936