612456316200 has 144 divisors (see below), whose sum is σ = 2075035208220. Its totient is φ = 161876305920.

The previous prime is 612456316151. The next prime is 612456316271. The reversal of 612456316200 is 2613654216.

612456316200 is a `hidden beast` number, since 6 + 1 + 24 + 5 + 6 + 3 + 1 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48956872644 + 563499443556 = 221262^2 + 750666^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1302147 + ... + 1708946.

Almost surely, 2^612456316200 is an apocalyptic number.

612456316200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

612456316200 is an abundant number, since it is smaller than the sum of its proper divisors (1462578892020).

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

612456316200 is a wasteful number, since it uses less digits than its factorization.

612456316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011228 (or 3011216 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 612456316200 in words is "six hundred twelve billion, four hundred fifty-six million, three hundred sixteen thousand, two hundred".