122542135320 has 256 divisors, whose sum is σ = 407119426560. Its totient is φ = 29504640000.

The previous prime is 122542135301. The next prime is 122542135361. The reversal of 122542135320 is 23531245221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24115180 + ... + 24120260.

It is an arithmetic number, because the mean of its divisors is an integer number (1590310260).

Almost surely, 2^122542135320 is an apocalyptic number.

122542135320 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 122542135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203559713280).

122542135320 is an abundant number, since it is smaller than the sum of its proper divisors (284577291240).

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

122542135320 is a wasteful number, since it uses less digits than its factorization.

122542135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 122542135320 in words is "one hundred twenty-two billion, five hundred forty-two million, one hundred thirty-five thousand, three hundred twenty".