121120704576 has 189 divisors, whose sum is σ = 369226570791. Its totient is φ = 37954105344.

The previous prime is 121120704571. The next prime is 121120704587. The reversal of 121120704576 is 675407021121.

The square root of 121120704576 is 348024.

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

121120704576 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 0 + 70 + 4 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7254950976 + 113865753600 = 85176^2 + 337440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121120704576.

It is not an unprimeable number, because it can be changed into a prime (121120704571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141993366 + ... + 141994218.

Almost surely, 2^121120704576 is an apocalyptic number.

121120704576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121120704576 is the 348024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120704576

121120704576 is an abundant number, since it is smaller than the sum of its proper divisors (248105866215).

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

121120704576 is an frugal number, since it uses more digits than its factorization.

121120704576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 121120704576 by its sum of digits (36), we get a square (4360345364736 = 2088144²).

121120704576 divided by its sum of digits (36) gives a square (3364464016 = 58004²).

Adding to 121120704576 its reverse (675407021121), we get a palindrome (796527725697).

The spelling of 121120704576 in words is "one hundred twenty-one billion, one hundred twenty million, seven hundred four thousand, five hundred seventy-six".