12087179280 has 480 divisors, whose sum is σ = 45593653248. Its totient is φ = 2844979200.

The previous prime is 12087179261. The next prime is 12087179281. The reversal of 12087179280 is 8297178021.

12087179280 is a `hidden beast` number, since 120 + 87 + 179 + 280 = 666.

It is a super-2 number, since 2×12087179280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12087179281) 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, 61356142 + ... + 61356338.

Almost surely, 2^12087179280 is an apocalyptic number.

12087179280 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 12087179280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796826624).

12087179280 is an abundant number, since it is smaller than the sum of its proper divisors (33506473968).

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

12087179280 is a wasteful number, since it uses less digits than its factorization.

12087179280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 12087179280 in words is "twelve billion, eighty-seven million, one hundred seventy-nine thousand, two hundred eighty".