122380899264 has 336 divisors, whose sum is σ = 400519392000. Its totient is φ = 35453583360.

The previous prime is 122380899241. The next prime is 122380899281. The reversal of 122380899264 is 462998083221.

122380899264 is a `hidden beast` number, since 1 + 223 + 80 + 89 + 9 + 264 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122380899264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8581612 + ... + 8595860.

It is an arithmetic number, because the mean of its divisors is an integer number (1192022000).

Almost surely, 2^122380899264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122380899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200259696000).

122380899264 is an abundant number, since it is smaller than the sum of its proper divisors (278138492736).

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

122380899264 is a wasteful number, since it uses less digits than its factorization.

122380899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14348 (or 14335 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 122380899264 in words is "one hundred twenty-two billion, three hundred eighty million, eight hundred ninety-nine thousand, two hundred sixty-four".