212353151200 has 72 divisors (see below), whose sum is σ = 526905729000. Its totient is φ = 83548761600.

The previous prime is 212353151177. The next prime is 212353151237. The reversal of 212353151200 is 2151353212.

212353151200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212353151200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 2126950 + ... + 2224549.

It is an arithmetic number, because the mean of its divisors is an integer number (7318135125).

Almost surely, 2^212353151200 is an apocalyptic number.

212353151200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212353151200 is an abundant number, since it is smaller than the sum of its proper divisors (314552577800).

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

212353151200 is a wasteful number, since it uses less digits than its factorization.

212353151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351580 (or 4351567 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 212353151200 in words is "two hundred twelve billion, three hundred fifty-three million, one hundred fifty-one thousand, two hundred".