212252410400 has 72 divisors (see below), whose sum is σ = 518310771300. Its totient is φ = 84876456960.

The previous prime is 212252410397. The next prime is 212252410423. The reversal of 212252410400 is 4014252212.

It can be written as a sum of positive squares in 6 ways, for example, as 88035637264 + 124216773136 = 296708^2 + 352444^2 .

It is a super-2 number, since 2×212252410400² (a number of 23 digits) contains 22 as substring.

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, 2873126 + ... + 2946074.

Almost surely, 2^212252410400 is an apocalyptic number.

212252410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212252410400 is an abundant number, since it is smaller than the sum of its proper divisors (306058360900).

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

212252410400 is a wasteful number, since it uses less digits than its factorization.

212252410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76606 (or 76593 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 212252410400 its reverse (4014252212), we get a palindrome (216266662612).

The spelling of 212252410400 in words is "two hundred twelve billion, two hundred fifty-two million, four hundred ten thousand, four hundred".