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12241931240 = 235711232959101
BaseRepresentation
bin10110110011010110…
…10000101111101000
31011121011100112121202
423121223100233220
5200032413244430
65342431023332
7612236461430
oct133153205750
934534315552
1012241931240
115212284150
12245796ab48
1312013106c6
14841bd72c0
154b9b0dd45
hex2d9ad0be8

12241931240 has 512 divisors, whose sum is σ = 38071296000. Its totient is φ = 3429888000.

The previous prime is 12241931239. The next prime is 12241931291. The reversal of 12241931240 is 4213914221.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121207190 + ... + 121207290.

It is an arithmetic number, because the mean of its divisors is an integer number (74358000).

Almost surely, 212241931240 is an apocalyptic number.

12241931240 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 12241931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035648000).

12241931240 is an abundant number, since it is smaller than the sum of its proper divisors (25829364760).

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

12241931240 is a wasteful number, since it uses less digits than its factorization.

12241931240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 12241931240 in words is "twelve billion, two hundred forty-one million, nine hundred thirty-one thousand, two hundred forty".