212552052000 has 96 divisors (see below), whose sum is σ = 696320561664. Its totient is φ = 56680544000.

The previous prime is 212552051969. The next prime is 212552052019. The reversal of 212552052000 is 250255212.

212552052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 8844336 + ... + 8868335.

It is an arithmetic number, because the mean of its divisors is an integer number (7253339184).

Almost surely, 2^212552052000 is an apocalyptic number.

212552052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212552052000 is an abundant number, since it is smaller than the sum of its proper divisors (483768509664).

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

212552052000 is a wasteful number, since it uses less digits than its factorization.

212552052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712699 (or 17712681 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 212552052000 in words is "two hundred twelve billion, five hundred fifty-two million, fifty-two thousand".