122813349120 has 1728 divisors, whose sum is σ = 583844889600. Its totient is φ = 24106844160.

The previous prime is 122813349103. The next prime is 122813349161. The reversal of 122813349120 is 21943318221.

122813349120 is a `hidden beast` number, since 12 + 2 + 8 + 133 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353928787 + ... + 353929133.

It is an arithmetic number, because the mean of its divisors is an integer number (337873200).

Almost surely, 2^122813349120 is an apocalyptic number.

122813349120 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 122813349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291922444800).

122813349120 is an abundant number, since it is smaller than the sum of its proper divisors (461031540480).

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

122813349120 is a wasteful number, since it uses less digits than its factorization.

122813349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 122813349120 in words is "one hundred twenty-two billion, eight hundred thirteen million, three hundred forty-nine thousand, one hundred twenty".