212400120 has 32 divisors (see below), whose sum is σ = 637200720. Its totient is φ = 56640000.

The previous prime is 212400113. The next prime is 212400157. The reversal of 212400120 is 21004212.

It is a super-2 number, since 2×212400120² = 90227621952028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212400096 and 212400105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884881 + ... + 885120.

Almost surely, 2^212400120 is an apocalyptic number.

212400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212400120 is an abundant number, since it is smaller than the sum of its proper divisors (424800600).

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

212400120 is a wasteful number, since it uses less digits than its factorization.

212400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770015 (or 1770011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212400120 is about 14573.9534787236. The cubic root of 212400120 is about 596.6480871147.

Adding to 212400120 its reverse (21004212), we get a palindrome (233404332).

The spelling of 212400120 in words is "two hundred twelve million, four hundred thousand, one hundred twenty".