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12240037656 = 2334711229769
BaseRepresentation
bin10110110011001000…
…00010011100011000
31011121000210100010000
423121210002130120
5200031422201111
65342322253000
7612214413660
oct133144023430
934530710100
1012240037656
115211200500
1224571b7160
131200ac9842
148418631a0
154b9887c56
hex2d9902718

12240037656 has 480 divisors, whose sum is σ = 44609796000. Its totient is φ = 3065610240.

The previous prime is 12240037619. The next prime is 12240037661. The reversal of 12240037656 is 65673004221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12240037656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15916440 + ... + 15917208.

It is an arithmetic number, because the mean of its divisors is an integer number (92937075).

Almost surely, 212240037656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240037656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22304898000).

12240037656 is an abundant number, since it is smaller than the sum of its proper divisors (32369758344).

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

12240037656 is a wasteful number, since it uses less digits than its factorization.

12240037656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12240037656 in words is "twelve billion, two hundred forty million, thirty-seven thousand, six hundred fifty-six".