21122160 has 160 divisors (see below), whose sum is σ = 71995392. Its totient is φ = 5099520.

The previous prime is 21122111. The next prime is 21122161. The reversal of 21122160 is 6122112.

It is a super-2 number, since 2×21122160² = 892291286131200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126397 + ... + 126563.

Almost surely, 2^21122160 is an apocalyptic number.

21122160 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 21122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997696).

21122160 is an abundant number, since it is smaller than the sum of its proper divisors (50873232).

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

21122160 is a wasteful number, since it uses less digits than its factorization.

21122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 21122160 is about 4595.8851160576. The cubic root of 21122160 is about 276.4263521836.

Subtracting from 21122160 its product of nonzero digits (48), we obtain a palindrome (21122112).

Adding to 21122160 its reverse (6122112), we get a palindrome (27244272).

The spelling of 21122160 in words is "twenty-one million, one hundred twenty-two thousand, one hundred sixty".