122665751128008 has 384 divisors, whose sum is σ = 403858281456000. Its totient is φ = 34356138854400.

The previous prime is 122665751128007. The next prime is 122665751128021. The reversal of 122665751128008 is 800821157566221.

122665751128008 is a `hidden beast` number, since 1 + 2 + 2 + 66 + 575 + 1 + 1 + 2 + 8 + 0 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (122665751128007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17347516 + ... + 23372372.

It is an arithmetic number, because the mean of its divisors is an integer number (1051714274625).

Almost surely, 2^{122665751128008} is an apocalyptic number.

122665751128008 is a gapful number since it is divisible by the number (18) 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 122665751128008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201929140728000).

122665751128008 is an abundant number, since it is smaller than the sum of its proper divisors (281192530327992).

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

122665751128008 is a wasteful number, since it uses less digits than its factorization.

122665751128008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024954 (or 6024933 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 122665751128008 in words is "one hundred twenty-two trillion, six hundred sixty-five billion, seven hundred fifty-one million, one hundred twenty-eight thousand, eight".