212151504442400 has 72 divisors (see below), whose sum is σ = 517918860954180. Its totient is φ = 84859946255360.

The previous prime is 212151504442399. The next prime is 212151504442463. The reversal of 212151504442400 is 4244405151212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48293993574544 + 163857510867856 = 6949388^2 + 12800684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110140382 + ... + 112050018.

Almost surely, 2^{212151504442400} is an apocalyptic number.

212151504442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212151504442400 is an abundant number, since it is smaller than the sum of its proper divisors (305767356511780).

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

212151504442400 is a wasteful number, since it uses less digits than its factorization.

212151504442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048526 (or 2048513 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 212151504442400 its reverse (4244405151212), we get a palindrome (216395909593612).

The spelling of 212151504442400 in words is "two hundred twelve trillion, one hundred fifty-one billion, five hundred four million, four hundred forty-two thousand, four hundred".