212215172400 has 2400 divisors, whose sum is σ = 1035031134720. Its totient is φ = 40646707200.

The previous prime is 212215172387. The next prime is 212215172423. The reversal of 212215172400 is 4271512212.

It is a happy number.

212215172400 is a `hidden beast` number, since 2 + 122 + 1 + 517 + 24 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5735545182 + ... + 5735545218.

Almost surely, 2^212215172400 is an apocalyptic number.

212215172400 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 212215172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517515567360).

212215172400 is an abundant number, since it is smaller than the sum of its proper divisors (822815962320).

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

212215172400 is a wasteful number, since it uses less digits than its factorization.

212215172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 212215172400 its reverse (4271512212), we get a palindrome (216486684612).

The spelling of 212215172400 in words is "two hundred twelve billion, two hundred fifteen million, one hundred seventy-two thousand, four hundred".