122344155035020 has 96 divisors (see below), whose sum is σ = 276504253845120. Its totient is φ = 45302465187840.

The previous prime is 122344155035009. The next prime is 122344155035029. The reversal of 122344155035020 is 20530551443221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122344155035029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823697802 + ... + 823846318.

It is an arithmetic number, because the mean of its divisors is an integer number (2880252644220).

Almost surely, 2^{122344155035020} is an apocalyptic number.

122344155035020 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 122344155035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138252126922560).

122344155035020 is an abundant number, since it is smaller than the sum of its proper divisors (154160098810100).

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

122344155035020 is a wasteful number, since it uses less digits than its factorization.

122344155035020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188323 (or 188321 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 122344155035020 in words is "one hundred twenty-two trillion, three hundred forty-four billion, one hundred fifty-five million, thirty-five thousand, twenty".