122077881840996 has 243 divisors, whose sum is σ = 322914320874873. Its totient is φ = 40380584641920.

The previous prime is 122077881840977. The next prime is 122077881840997. The reversal of 122077881840996 is 699048188770221.

The square root of 122077881840996 is 11048886.

It is a perfect power (a square), and thus also a powerful number.

122077881840996 is a `hidden beast` number, since 1 + 2 + 207 + 7 + 8 + 8 + 1 + 8 + 409 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91811159530596 + 30266722310400 = 9581814^2 + 5501520^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (122077881840997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 431370607071 + ... + 431370607353.

Almost surely, 2^{122077881840996} is an apocalyptic number.

122077881840996 is the 11048886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122077881840996

122077881840996 is an abundant number, since it is smaller than the sum of its proper divisors (200836439033877).

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

122077881840996 is an frugal number, since it uses more digits than its factorization.

122077881840996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 122077881840996 in words is "one hundred twenty-two trillion, seventy-seven billion, eight hundred eighty-one million, eight hundred forty thousand, nine hundred ninety-six".