12150909792 has 576 divisors, whose sum is σ = 44616499200. Its totient is φ = 3174474240.

The previous prime is 12150909739. The next prime is 12150909803. The reversal of 12150909792 is 29790905121.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 32060259 + ... + 32060637.

It is an arithmetic number, because the mean of its divisors is an integer number (77459200).

Almost surely, 2^12150909792 is an apocalyptic number.

12150909792 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 12150909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308249600).

12150909792 is an abundant number, since it is smaller than the sum of its proper divisors (32465589408).

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

12150909792 is a wasteful number, since it uses less digits than its factorization.

12150909792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 12150909792 in words is "twelve billion, one hundred fifty million, nine hundred nine thousand, seven hundred ninety-two".