10215120 has 80 divisors (see below), whose sum is σ = 32712192. Its totient is φ = 2634240.

The previous prime is 10215119. The next prime is 10215157. The reversal of 10215120 is 2151201.

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

It is a super-2 number, since 2×10215120² = 208697353228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10215096 and 10215105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6754 + ... + 8126.

Almost surely, 2^10215120 is an apocalyptic number.

10215120 is a gapful number since it is divisible by the number (10) 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 10215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356096).

10215120 is an abundant number, since it is smaller than the sum of its proper divisors (22497072).

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

10215120 is a wasteful number, since it uses less digits than its factorization.

10215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10215120 is about 3196.1101357744. The cubic root of 10215120 is about 216.9773950559.

Adding to 10215120 its reverse (2151201), we get a palindrome (12366321).

The spelling of 10215120 in words is "ten million, two hundred fifteen thousand, one hundred twenty".