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12242544132 = 223713195973137
BaseRepresentation
bin10110110011011011…
…00110011000000100
31011121012111200100110
423121231212120010
5200033042403012
65342452113020
7612244623330
oct133155463004
934535450313
1012242544132
115212662675
122458005770
131201496670
14841d167c0
154b9bd073c
hex2d9b66604

12242544132 has 384 divisors, whose sum is σ = 38429798400. Its totient is φ = 2944180224.

The previous prime is 12242544131. The next prime is 12242544157. The reversal of 12242544132 is 23144524221.

It is a happy number.

It is a super-3 number, since 3×122425441323 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12242544132.

It is not an unprimeable number, because it can be changed into a prime (12242544131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89361568 + ... + 89361704.

It is an arithmetic number, because the mean of its divisors is an integer number (100077600).

Almost surely, 212242544132 is an apocalyptic number.

12242544132 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 12242544132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214899200).

12242544132 is an abundant number, since it is smaller than the sum of its proper divisors (26187254268).

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

12242544132 is a wasteful number, since it uses less digits than its factorization.

12242544132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The spelling of 12242544132 in words is "twelve billion, two hundred forty-two million, five hundred forty-four thousand, one hundred thirty-two".