21007282122 has 80 divisors (see below), whose sum is σ = 48863865600. Its totient is φ = 6738396480.

The previous prime is 21007282099. The next prime is 21007282129. The reversal of 21007282122 is 22128270012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21007282129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 887254 + ... + 910622.

It is an arithmetic number, because the mean of its divisors is an integer number (610798320).

Almost surely, 2^21007282122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21007282122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431932800).

21007282122 is an abundant number, since it is smaller than the sum of its proper divisors (27856583478).

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

21007282122 is a wasteful number, since it uses less digits than its factorization.

21007282122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23593 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 21007282122 in words is "twenty-one billion, seven million, two hundred eighty-two thousand, one hundred twenty-two".