212022432122400 has 432 divisors, whose sum is σ = 775381807575648. Its totient is φ = 56535874560000.

The previous prime is 212022432122399. The next prime is 212022432122471. The reversal of 212022432122400 is 4221234220212.

212022432122400 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 2 + 2 + 43 + 212 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5816624175 + ... + 5816660625.

It is an arithmetic number, because the mean of its divisors is an integer number (1794865295314).

Almost surely, 2^{212022432122400} is an apocalyptic number.

212022432122400 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 212022432122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387690903787824).

212022432122400 is an abundant number, since it is smaller than the sum of its proper divisors (563359375453248).

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

212022432122400 is a wasteful number, since it uses less digits than its factorization.

212022432122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66407 (or 66382 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212022432122400 its reverse (4221234220212), we get a palindrome (216243666342612).

The spelling of 212022432122400 in words is "two hundred twelve trillion, twenty-two billion, four hundred thirty-two million, one hundred twenty-two thousand, four hundred".