12117504000 has 832 divisors, whose sum is σ = 49067366400. Its totient is φ = 2649292800.

The previous prime is 12117503971. The next prime is 12117504013. The reversal of 12117504000 is 40571121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526847989 + ... + 526848011.

It is an arithmetic number, because the mean of its divisors is an integer number (58975200).

Almost surely, 2^12117504000 is an apocalyptic number.

12117504000 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 12117504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24533683200).

12117504000 is an abundant number, since it is smaller than the sum of its proper divisors (36949862400).

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

12117504000 is an frugal number, since it uses more digits than its factorization.

12117504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The spelling of 12117504000 in words is "twelve billion, one hundred seventeen million, five hundred four thousand".