122338074600 has 720 divisors, whose sum is σ = 497165417100. Its totient is φ = 27799511040.

The previous prime is 122338074569. The next prime is 122338074601. The reversal of 122338074600 is 6470833221.

It is a happy number.

122338074600 is a `hidden beast` number, since 12 + 2 + 3 + 38 + 0 + 7 + 4 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 64844585316 + 57493489284 = 254646^2 + 239778^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122338074601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 181779864 + ... + 181780536.

Almost surely, 2^122338074600 is an apocalyptic number.

122338074600 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 122338074600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248582708550).

122338074600 is an abundant number, since it is smaller than the sum of its proper divisors (374827342500).

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

122338074600 is a wasteful number, since it uses less digits than its factorization.

122338074600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 122338074600 in words is "one hundred twenty-two billion, three hundred thirty-eight million, seventy-four thousand, six hundred".