201582120 has 64 divisors (see below), whose sum is σ = 631048320. Its totient is φ = 51417344.

The previous prime is 201582113. The next prime is 201582133. The reversal of 201582120 is 21285102.

It is a happy number.

It is a super-2 number, since 2×201582120² = 81270702207388800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33759 + ... + 39278.

It is an arithmetic number, because the mean of its divisors is an integer number (9860130).

Almost surely, 2^201582120 is an apocalyptic number.

201582120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201582120 is an abundant number, since it is smaller than the sum of its proper divisors (429466200).

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

201582120 is a wasteful number, since it uses less digits than its factorization.

201582120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73074 (or 73070 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 201582120 is about 14197.9618255579. The cubic root of 201582120 is about 586.3415482226.

The spelling of 201582120 in words is "two hundred one million, five hundred eighty-two thousand, one hundred twenty".