212135400 has 144 divisors (see below), whose sum is σ = 723465600. Its totient is φ = 55693440.

The previous prime is 212135389. The next prime is 212135419. The reversal of 212135400 is 4531212.

212135400 is a `hidden beast` number, since 2 + 121 + 3 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119721 + ... + 121479.

Almost surely, 2^212135400 is an apocalyptic number.

212135400 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 212135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361732800).

212135400 is an abundant number, since it is smaller than the sum of its proper divisors (511330200).

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

212135400 is a wasteful number, since it uses less digits than its factorization.

212135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212135400 is about 14564.8686914781. The cubic root of 212135400 is about 596.4001111970.

Adding to 212135400 its reverse (4531212), we get a palindrome (216666612).

The spelling of 212135400 in words is "two hundred twelve million, one hundred thirty-five thousand, four hundred".