12250465920 has 1344 divisors, whose sum is σ = 56938129920. Its totient is φ = 2463436800.

The previous prime is 12250465907. The next prime is 12250465933. The reversal of 12250465920 is 2956405221.

12250465920 is a `hidden beast` number, since 1 + 2 + 2 + 504 + 65 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12250465907) and next prime (12250465933).

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 395176305 + ... + 395176335.

It is an arithmetic number, because the mean of its divisors is an integer number (42364680).

Almost surely, 2^12250465920 is an apocalyptic number.

12250465920 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 12250465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469064960).

12250465920 is an abundant number, since it is smaller than the sum of its proper divisors (44687664000).

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

12250465920 is an equidigital number, since it uses as much as digits as its factorization.

12250465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12250465920 in words is "twelve billion, two hundred fifty million, four hundred sixty-five thousand, nine hundred twenty".