122013323440 has 80 divisors (see below), whose sum is σ = 300946363200. Its totient is φ = 45845995520.

The previous prime is 122013323431. The next prime is 122013323441. The reversal of 122013323440 is 44323310221.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122013323441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622461 + ... + 794659.

It is an arithmetic number, because the mean of its divisors is an integer number (3761829540).

Almost surely, 2^122013323440 is an apocalyptic number.

122013323440 is a gapful number since it is divisible by the number (10) 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 122013323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150473181600).

122013323440 is an abundant number, since it is smaller than the sum of its proper divisors (178933039760).

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

122013323440 is a wasteful number, since it uses less digits than its factorization.

122013323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172750 (or 172744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122013323440 its reverse (44323310221), we get a palindrome (166336633661).

The spelling of 122013323440 in words is "one hundred twenty-two billion, thirteen million, three hundred twenty-three thousand, four hundred forty".