215181120 has 448 divisors, whose sum is σ = 884846592. Its totient is φ = 43008000.

The previous prime is 215181119. The next prime is 215181139. The reversal of 215181120 is 21181512.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030685 + ... + 3030755.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^215181120 is an apocalyptic number.

215181120 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 215181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

215181120 is an abundant number, since it is smaller than the sum of its proper divisors (669665472).

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

215181120 is a wasteful number, since it uses less digits than its factorization.

215181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 215181120 is about 14669.0531391770. The cubic root of 215181120 is about 599.2408175864.

The spelling of 215181120 in words is "two hundred fifteen million, one hundred eighty-one thousand, one hundred twenty".