213121200 has 60 divisors (see below), whose sum is σ = 682702088. Its totient is φ = 56832000.

The previous prime is 213121199. The next prime is 213121213. The reversal of 213121200 is 2121312.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87601 + ... + 90000.

Almost surely, 2^213121200 is an apocalyptic number.

213121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121200 is an abundant number, since it is smaller than the sum of its proper divisors (469580888).

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

213121200 is a wasteful number, since it uses less digits than its factorization.

213121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177622 (or 177611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213121200 is about 14598.6711724047. The cubic root of 213121200 is about 597.3225139985.

Adding to 213121200 its reverse (2121312), we get a palindrome (215242512).

The spelling of 213121200 in words is "two hundred thirteen million, one hundred twenty-one thousand, two hundred".