12268251141120 has 1056 divisors, whose sum is σ = 48282998400000. Its totient is φ = 2855333265408.

The previous prime is 12268251141119. The next prime is 12268251141131. The reversal of 12268251141120 is 2114115286221.

12268251141120 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 82 + 511 + 41 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9822458256 + ... + 9822459504.

Almost surely, 2^{12268251141120} is an apocalyptic number.

12268251141120 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 12268251141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141499200000).

12268251141120 is an abundant number, since it is smaller than the sum of its proper divisors (36014747258880).

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

12268251141120 is a wasteful number, since it uses less digits than its factorization.

12268251141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12268251141120 in words is "twelve trillion, two hundred sixty-eight billion, two hundred fifty-one million, one hundred forty-one thousand, one hundred twenty".