212442014400 has 336 divisors, whose sum is σ = 868972120320. Its totient is φ = 44143718400.

The previous prime is 212442014399. The next prime is 212442014437. The reversal of 212442014400 is 4410244212.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82206 + ... + 656994.

Almost surely, 2^212442014400 is an apocalyptic number.

212442014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212442014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434486060160).

212442014400 is an abundant number, since it is smaller than the sum of its proper divisors (656530105920).

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

212442014400 is a wasteful number, since it uses less digits than its factorization.

212442014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574832 (or 574817 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212442014400 its reverse (4410244212), we get a palindrome (216852258612).

The spelling of 212442014400 in words is "two hundred twelve billion, four hundred forty-two million, fourteen thousand, four hundred".