122042857357728 has 72 divisors (see below), whose sum is σ = 359913426582528. Its totient is φ = 40680952449984.

The previous prime is 122042857357723. The next prime is 122042857357783. The reversal of 122042857357728 is 827753758240221.

It is a happy number.

122042857357728 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 2 + 8 + 57 + 3 + 577 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122042857357728² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122042857357723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7847398176 + ... + 7847413727.

It is an arithmetic number, because the mean of its divisors is an integer number (4998797591424).

Almost surely, 2^{122042857357728} is an apocalyptic number.

122042857357728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122042857357728 is an abundant number, since it is smaller than the sum of its proper divisors (237870569224800).

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

122042857357728 is an equidigital number, since it uses as much as digits as its factorization.

122042857357728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15694811928 (or 15694811908 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 122042857357728 in words is "one hundred twenty-two trillion, forty-two billion, eight hundred fifty-seven million, three hundred fifty-seven thousand, seven hundred twenty-eight".