210212400 has 120 divisors (see below), whose sum is σ = 676851520. Its totient is φ = 55768320.

The previous prime is 210212399. The next prime is 210212413. The reversal of 210212400 is 4212012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×210212400² = 88378506227520000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 339291 + ... + 339909.

Almost surely, 2^210212400 is an apocalyptic number.

210212400 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 210212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338425760).

210212400 is an abundant number, since it is smaller than the sum of its proper divisors (466639120).

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

210212400 is a wasteful number, since it uses less digits than its factorization.

210212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

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

The square root of 210212400 is about 14498.7033903036. The cubic root of 210212400 is about 594.5925228355.

Adding to 210212400 its reverse (4212012), we get a palindrome (214424412).

The spelling of 210212400 in words is "two hundred ten million, two hundred twelve thousand, four hundred".