122976258048 has 756 divisors, whose sum is σ = 439576231185. Its totient is φ = 34279096320.

The previous prime is 122976258047. The next prime is 122976258071. The reversal of 122976258048 is 840852679221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122976258048 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 7 + 625 + 8 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87824507904 + 35151750144 = 296352^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247968.

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

It is a junction number, because it is equal to n+sod(n) for n = 122976257985 and 122976258003.

It is not an unprimeable number, because it can be changed into a prime (122976258047) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2999420908 + ... + 2999420948.

Almost surely, 2^122976258048 is an apocalyptic number.

122976258048 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 122976258048

122976258048 is an abundant number, since it is smaller than the sum of its proper divisors (316599973137).

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

122976258048 is an frugal number, since it uses more digits than its factorization.

122976258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 122976258048 in words is "one hundred twenty-two billion, nine hundred seventy-six million, two hundred fifty-eight thousand, forty-eight".