212573375971200 has 4608 divisors, whose sum is σ = 906318636537600. Its totient is φ = 47087773286400.

The previous prime is 212573375971199. The next prime is 212573375971213. The reversal of 212573375971200 is 2179573375212.

It is a happy number.

212573375971200 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 7 + 3 + 37 + 597 + 12 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 882047203080 + ... + 882047203320.

Almost surely, 2^{212573375971200} is an apocalyptic number.

212573375971200 is a gapful number since it is divisible by the number (20) 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 212573375971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453159318268800).

212573375971200 is an abundant number, since it is smaller than the sum of its proper divisors (693745260566400).

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

212573375971200 is a wasteful number, since it uses less digits than its factorization.

212573375971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 212573375971200 in words is "two hundred twelve trillion, five hundred seventy-three billion, three hundred seventy-five million, nine hundred seventy-one thousand, two hundred".