122819322960 has 240 divisors, whose sum is σ = 419971780800. Its totient is φ = 32157382656.

The previous prime is 122819322953. The next prime is 122819322971. The reversal of 122819322960 is 69223918221.

122819322960 is a `hidden beast` number, since 1 + 2 + 281 + 93 + 229 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54755599 + ... + 54757841.

It is an arithmetic number, because the mean of its divisors is an integer number (1749882420).

Almost surely, 2^122819322960 is an apocalyptic number.

122819322960 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 122819322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209985890400).

122819322960 is an abundant number, since it is smaller than the sum of its proper divisors (297152457840).

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

122819322960 is a wasteful number, since it uses less digits than its factorization.

122819322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 122819322960 in words is "one hundred twenty-two billion, eight hundred nineteen million, three hundred twenty-two thousand, nine hundred sixty".