212004672642 has 48 divisors (see below), whose sum is σ = 525076344000. Its totient is φ = 60559795296.

The previous prime is 212004672631. The next prime is 212004672653. The reversal of 212004672642 is 246276400212.

212004672642 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 4 + 6 + 7 + 2 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (212004672631) and next prime (212004672653).

It is a junction number, because it is equal to n+sod(n) for n = 212004672597 and 212004672606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418609 + ... + 774107.

It is an arithmetic number, because the mean of its divisors is an integer number (10939090500).

Almost surely, 2^212004672642 is an apocalyptic number.

212004672642 is an abundant number, since it is smaller than the sum of its proper divisors (313071671358).

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

212004672642 is a wasteful number, since it uses less digits than its factorization.

212004672642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360247 (or 360244 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 212004672642 in words is "two hundred twelve billion, four million, six hundred seventy-two thousand, six hundred forty-two".