12251146320 has 480 divisors, whose sum is σ = 49117356288. Its totient is φ = 2779951104.

The previous prime is 12251146319. The next prime is 12251146321. The reversal of 12251146320 is 2364115221.

12251146320 is a `hidden beast` number, since 1 + 2 + 25 + 1 + 1 + 4 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12251146319) and next prime (12251146321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251146321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26807532 + ... + 26807988.

Almost surely, 2^12251146320 is an apocalyptic number.

12251146320 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 12251146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558678144).

12251146320 is an abundant number, since it is smaller than the sum of its proper divisors (36866209968).

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

12251146320 is a wasteful number, since it uses less digits than its factorization.

12251146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12251146320 in words is "twelve billion, two hundred fifty-one million, one hundred forty-six thousand, three hundred twenty".