21322122120 has 384 divisors, whose sum is σ = 76453977600. Its totient is φ = 5121792000.

The previous prime is 21322122113. The next prime is 21322122137. The reversal of 21322122120 is 2122122312.

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 = 21322122093 and 21322122102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37341435 + ... + 37342005.

It is an arithmetic number, because the mean of its divisors is an integer number (199098900).

Almost surely, 2^21322122120 is an apocalyptic number.

21322122120 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 21322122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38226988800).

21322122120 is an abundant number, since it is smaller than the sum of its proper divisors (55131855480).

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

21322122120 is a wasteful number, since it uses less digits than its factorization.

21322122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21322122120 its product of nonzero digits (192), we get a palindrome (21322122312).

Adding to 21322122120 its reverse (2122122312), we get a palindrome (23444244432).

The spelling of 21322122120 in words is "twenty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".