12979464300 has 1080 divisors, whose sum is σ = 52801776720. Its totient is φ = 2737152000.

The previous prime is 12979464293. The next prime is 12979464331. The reversal of 12979464300 is 346497921.

It is a happy number.

12979464300 is a `hidden beast` number, since 129 + 7 + 94 + 6 + 430 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 316572280 + ... + 316572320.

It is an arithmetic number, because the mean of its divisors is an integer number (48890534).

Almost surely, 2^12979464300 is an apocalyptic number.

12979464300 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 12979464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26400888360).

12979464300 is an abundant number, since it is smaller than the sum of its proper divisors (39822312420).

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

12979464300 is a wasteful number, since it uses less digits than its factorization.

12979464300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12979464300 in words is "twelve billion, nine hundred seventy-nine million, four hundred sixty-four thousand, three hundred".