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12242056288 = 25711192971127
BaseRepresentation
bin10110110011010111…
…01111010001100000
31011121011120220011011
423121223233101200
5200032431300123
65342433430304
7612240522130
oct133153572140
934534526134
1012242056288
11521235a0a0
122457a0b394
1312013555b7
14841c2aac0
154b9b35e0d
hex2d9aef460

12242056288 has 384 divisors, whose sum is σ = 33443020800. Its totient is φ = 4267468800.

The previous prime is 12242056283. The next prime is 12242056297. The reversal of 12242056288 is 88265024221.

It is a self number, because there is not a number n which added to its sum of digits gives 12242056288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242056283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96394081 + ... + 96394207.

It is an arithmetic number, because the mean of its divisors is an integer number (87091200).

Almost surely, 212242056288 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 12242056288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721510400).

12242056288 is an abundant number, since it is smaller than the sum of its proper divisors (21200964512).

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

12242056288 is a wasteful number, since it uses less digits than its factorization.

12242056288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 12242056288 in words is "twelve billion, two hundred forty-two million, fifty-six thousand, two hundred eighty-eight".