12252605525160 has 2048 divisors, whose sum is σ = 53962822287360. Its totient is φ = 2140353331200.

The previous prime is 12252605525137. The next prime is 12252605525191. The reversal of 12252605525160 is 6152550625221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19417758045 + ... + 19417758675.

It is an arithmetic number, because the mean of its divisors is an integer number (26349034320).

Almost surely, 2^{12252605525160} is an apocalyptic number.

12252605525160 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 12252605525160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26981411143680).

12252605525160 is an abundant number, since it is smaller than the sum of its proper divisors (41710216762200).

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

12252605525160 is a wasteful number, since it uses less digits than its factorization.

12252605525160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 12252605525160 in words is "twelve trillion, two hundred fifty-two billion, six hundred five million, five hundred twenty-five thousand, one hundred sixty".