122414648880 has 160 divisors (see below), whose sum is σ = 382593369600. Its totient is φ = 32377522176.

The previous prime is 122414648879. The next prime is 122414648891. The reversal of 122414648880 is 88846414221.

122414648880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17567157 + ... + 17574123.

It is an arithmetic number, because the mean of its divisors is an integer number (2391208560).

Almost surely, 2^122414648880 is an apocalyptic number.

122414648880 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 122414648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191296684800).

122414648880 is an abundant number, since it is smaller than the sum of its proper divisors (260178720720).

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

122414648880 is a wasteful number, since it uses less digits than its factorization.

122414648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 122414648880 in words is "one hundred twenty-two billion, four hundred fourteen million, six hundred forty-eight thousand, eight hundred eighty".