12009501504 has 896 divisors, whose sum is σ = 48666562560. Its totient is φ = 2803507200.

The previous prime is 12009501467. The next prime is 12009501509. The reversal of 12009501504 is 40510590021.

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 (12009501509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91675519 + ... + 91675649.

It is an arithmetic number, because the mean of its divisors is an integer number (54315360).

Almost surely, 2^12009501504 is an apocalyptic number.

12009501504 is a gapful number since it is divisible by the number (14) 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 12009501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24333281280).

12009501504 is an abundant number, since it is smaller than the sum of its proper divisors (36657061056).

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

12009501504 is a wasteful number, since it uses less digits than its factorization.

12009501504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 12009501504 in words is "twelve billion, nine million, five hundred one thousand, five hundred four".