215120000 has 80 divisors (see below), whose sum is σ = 535726950. Its totient is φ = 86016000.

The previous prime is 215119997. The next prime is 215120039. The reversal of 215120000 is 21512.

It can be written as a sum of positive squares in 5 ways, for example, as 7529536 + 207590464 = 2744^2 + 14408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×215120000² = 92553228800000000, 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 9 ways as a sum of consecutive naturals, for example, 78656 + ... + 81344.

Almost surely, 2^215120000 is an apocalyptic number.

215120000 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 215120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267863475).

215120000 is an abundant number, since it is smaller than the sum of its proper divisors (320606950).

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

215120000 is an frugal number, since it uses more digits than its factorization.

215120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 215120000 is about 14666.9696938393. The cubic root of 215120000 is about 599.1840761352.

Adding to 215120000 its reverse (21512), we get a palindrome (215141512).

Multiplying 215120000 by its reverse (21512), we get a square (4627661440000 = 2151200²).

215120000 divided by its reverse (21512) gives a 4-th power (10000 = 10⁴).

The spelling of 215120000 in words is "two hundred fifteen million, one hundred twenty thousand".