212411014400 has 108 divisors (see below), whose sum is σ = 566193013932. Its totient is φ = 78428651520.

The previous prime is 212411014381. The next prime is 212411014421. The reversal of 212411014400 is 4410114212.

It can be written as a sum of positive squares in 6 ways, for example, as 54427023616 + 157983990784 = 233296^2 + 397472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1193309 + ... + 1359708.

Almost surely, 2^212411014400 is an apocalyptic number.

212411014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212411014400 is an abundant number, since it is smaller than the sum of its proper divisors (353781999532).

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

212411014400 is a wasteful number, since it uses less digits than its factorization.

212411014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553056 (or 2553037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212411014400 its reverse (4410114212), we get a palindrome (216821128612).

The spelling of 212411014400 in words is "two hundred twelve billion, four hundred eleven million, fourteen thousand, four hundred".