20442322120 has 96 divisors (see below), whose sum is σ = 51372688320. Its totient is φ = 7260408960.

The previous prime is 20442322049. The next prime is 20442322139. The reversal of 20442322120 is 2122324402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20442322091 and 20442322100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800997 + ... + 826123.

It is an arithmetic number, because the mean of its divisors is an integer number (535132170).

Almost surely, 2^20442322120 is an apocalyptic number.

20442322120 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 20442322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686344160).

20442322120 is an abundant number, since it is smaller than the sum of its proper divisors (30930366200).

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

20442322120 is a wasteful number, since it uses less digits than its factorization.

20442322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25235 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20442322120 its reverse (2122324402), we get a palindrome (22564646522).

It can be divided in two parts, 204 and 42322120, that added together give a palindrome (42322324).

The spelling of 20442322120 in words is "twenty billion, four hundred forty-two million, three hundred twenty-two thousand, one hundred twenty".