21124288512 has 208 divisors, whose sum is σ = 62914743360. Its totient is φ = 7004160000.

The previous prime is 21124288501. The next prime is 21124288543. The reversal of 21124288512 is 21588242112.

It is a happy number.

21124288512 is a `hidden beast` number, since 2 + 112 + 4 + 28 + 8 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27758212 + ... + 27758972.

Almost surely, 2^21124288512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457371680).

21124288512 is an abundant number, since it is smaller than the sum of its proper divisors (41790454848).

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

21124288512 is an equidigital number, since it uses as much as digits as its factorization.

21124288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1017 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The spelling of 21124288512 in words is "twenty-one billion, one hundred twenty-four million, two hundred eighty-eight thousand, five hundred twelve".