21201315120 has 240 divisors, whose sum is σ = 73146202272. Its totient is φ = 5500293120.

The previous prime is 21201315097. The next prime is 21201315143. The reversal of 21201315120 is 2151310212.

21201315120 is a `hidden beast` number, since 2 + 1 + 20 + 131 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21201315097) and next prime (21201315143).

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

It is a super-2 number, since 2×21201315120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21201315093 and 21201315102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8698542 + ... + 8700978.

Almost surely, 2^21201315120 is an apocalyptic number.

21201315120 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 21201315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36573101136).

21201315120 is an abundant number, since it is smaller than the sum of its proper divisors (51944887152).

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

21201315120 is a wasteful number, since it uses less digits than its factorization.

21201315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 21201315120 its reverse (2151310212), we get a palindrome (23352625332).

The spelling of 21201315120 in words is "twenty-one billion, two hundred one million, three hundred fifteen thousand, one hundred twenty".