21375120 has 240 divisors, whose sum is σ = 78423552. Its totient is φ = 4792320.

The previous prime is 21375113. The next prime is 21375127. The reversal of 21375120 is 2157312.

It is an interprime number because it is at equal distance from previous prime (21375113) and next prime (21375127).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (21375127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689505 + ... + 689535.

Almost surely, 2^21375120 is an apocalyptic number.

21375120 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 21375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211776).

21375120 is an abundant number, since it is smaller than the sum of its proper divisors (57048432).

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

21375120 is a wasteful number, since it uses less digits than its factorization.

21375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 21375120 is about 4623.3234799222. The cubic root of 21375120 is about 277.5254744896.

The spelling of 21375120 in words is "twenty-one million, three hundred seventy-five thousand, one hundred twenty".