212140800 has 324 divisors, whose sum is σ = 790782720. Its totient is φ = 54190080.

The previous prime is 212140793. The next prime is 212140823. The reversal of 212140800 is 8041212.

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, 1670337 + ... + 1670463.

Almost surely, 2^212140800 is an apocalyptic number.

212140800 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 212140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395391360).

212140800 is an abundant number, since it is smaller than the sum of its proper divisors (578641920).

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

212140800 is a wasteful number, since it uses less digits than its factorization.

212140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 212140800 is about 14565.0540678708. The cubic root of 212140800 is about 596.4051716965.

The spelling of 212140800 in words is "two hundred twelve million, one hundred forty thousand, eight hundred".