122775077376 has 700 divisors, whose sum is σ = 432203212782. Its totient is φ = 34822545408.

The previous prime is 122775077263. The next prime is 122775077387. The reversal of 122775077376 is 673770577221.

122775077376 is a `hidden beast` number, since 122 + 7 + 7 + 507 + 7 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100818950400 + 21956126976 = 317520^2 + 148176^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 896168380 + ... + 896168516.

Almost surely, 2^122775077376 is an apocalyptic number.

122775077376 is a gapful number since it is divisible by the number (16) 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 122775077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216101606391).

122775077376 is an abundant number, since it is smaller than the sum of its proper divisors (309428135406).

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

122775077376 is an frugal number, since it uses more digits than its factorization.

122775077376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6050520, while the sum is 54.

The spelling of 122775077376 in words is "one hundred twenty-two billion, seven hundred seventy-five million, seventy-seven thousand, three hundred seventy-six".