12254207357952 has 1760 divisors, whose sum is σ = 44683916492160. Its totient is φ = 3355254669312.

The previous prime is 12254207357941. The next prime is 12254207358053. The reversal of 12254207357952 is 25975370245221.

12254207357952 is a `hidden beast` number, since 1 + 2 + 2 + 542 + 0 + 7 + 3 + 5 + 7 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231211459558 + ... + 231211459610.

It is an arithmetic number, because the mean of its divisors is an integer number (25388588916).

Almost surely, 2^{12254207357952} is an apocalyptic number.

12254207357952 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 12254207357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341958246080).

12254207357952 is an abundant number, since it is smaller than the sum of its proper divisors (32429709134208).

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

12254207357952 is an frugal number, since it uses more digits than its factorization.

12254207357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 12254207357952 in words is "twelve trillion, two hundred fifty-four billion, two hundred seven million, three hundred fifty-seven thousand, nine hundred fifty-two".