122279665500 has 576 divisors, whose sum is σ = 431948619648. Its totient is φ = 30083788800.

The previous prime is 122279665489. The next prime is 122279665513. The reversal of 122279665500 is 5566972221.

122279665500 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 96 + 6 + 550 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109470942 + ... + 109472058.

It is an arithmetic number, because the mean of its divisors is an integer number (749910798).

Almost surely, 2^122279665500 is an apocalyptic number.

122279665500 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 122279665500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215974309824).

122279665500 is an abundant number, since it is smaller than the sum of its proper divisors (309668954148).

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

122279665500 is a wasteful number, since it uses less digits than its factorization.

122279665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 122279665500 in words is "one hundred twenty-two billion, two hundred seventy-nine million, six hundred sixty-five thousand, five hundred".