214050120 has 32 divisors (see below), whose sum is σ = 642150720. Its totient is φ = 57080000.

The previous prime is 214050113. The next prime is 214050149. The reversal of 214050120 is 21050412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214050120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891756 + ... + 891995.

It is an arithmetic number, because the mean of its divisors is an integer number (20067210).

Almost surely, 2^214050120 is an apocalyptic number.

214050120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214050120 is an abundant number, since it is smaller than the sum of its proper divisors (428100600).

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

214050120 is a wasteful number, since it uses less digits than its factorization.

214050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783765 (or 1783761 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 214050120 is about 14630.4518043702. The cubic root of 214050120 is about 598.1890954287.

The spelling of 214050120 in words is "two hundred fourteen million, fifty thousand, one hundred twenty".