212102124400 has 60 divisors (see below), whose sum is σ = 511214159664. Its totient is φ = 84568000000.

The previous prime is 212102124397. The next prime is 212102124407. The reversal of 212102124400 is 4421201212.

It is a super-2 number, since 2×212102124400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102124407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728101 + ... + 976900.

Almost surely, 2^212102124400 is an apocalyptic number.

212102124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102124400 is an abundant number, since it is smaller than the sum of its proper divisors (299112035264).

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

212102124400 is a wasteful number, since it uses less digits than its factorization.

212102124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705330 (or 1705319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 212102124400 its reverse (4421201212), we get a palindrome (216523325612).

The spelling of 212102124400 in words is "two hundred twelve billion, one hundred two million, one hundred twenty-four thousand, four hundred".