12253003986096 has 160 divisors (see below), whose sum is σ = 35996592896000. Its totient is φ = 3988462125312.

The previous prime is 12253003986071. The next prime is 12253003986121. The reversal of 12253003986096 is 69068930035221.

12253003986096 is a `hidden beast` number, since 1 + 2 + 25 + 3 + 0 + 0 + 3 + 9 + 8 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12253003986071) and next prime (12253003986121).

It is a super-2 number, since 2×12253003986096² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86102970 + ... + 86245158.

It is an arithmetic number, because the mean of its divisors is an integer number (224978705600).

Almost surely, 2^{12253003986096} is an apocalyptic number.

12253003986096 is a gapful number since it is divisible by the number (16) 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 12253003986096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998296448000).

12253003986096 is an abundant number, since it is smaller than the sum of its proper divisors (23743588909904).

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

12253003986096 is a wasteful number, since it uses less digits than its factorization.

12253003986096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146888 (or 146876 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 12253003986096 in words is "twelve trillion, two hundred fifty-three billion, three million, nine hundred eighty-six thousand, ninety-six".