212431124400 has 120 divisors (see below), whose sum is σ = 742350266304. Its totient is φ = 51498451200.

The previous prime is 212431124363. The next prime is 212431124407. The reversal of 212431124400 is 4421134212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×212431124400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212431124407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8033434 + ... + 8059833.

Almost surely, 2^212431124400 is an apocalyptic number.

212431124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431124400 is an abundant number, since it is smaller than the sum of its proper divisors (529919141904).

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

212431124400 is a wasteful number, since it uses less digits than its factorization.

212431124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093299 (or 16093288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212431124400 its reverse (4421134212), we get a palindrome (216852258612).

The spelling of 212431124400 in words is "two hundred twelve billion, four hundred thirty-one million, one hundred twenty-four thousand, four hundred".