121764706704 has 165 divisors, whose sum is σ = 354865155883. Its totient is φ = 40475176416.

The previous prime is 121764706669. The next prime is 121764706711. The reversal of 121764706704 is 407607467121.

The square root of 121764706704 is 348948.

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

121764706704 is a `hidden beast` number, since 1 + 2 + 176 + 470 + 6 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×121764706704² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121764706704.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 339177277 + ... + 339177635.

Almost surely, 2^121764706704 is an apocalyptic number.

121764706704 is the 348948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121764706704

121764706704 is an abundant number, since it is smaller than the sum of its proper divisors (233100449179).

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

121764706704 is an frugal number, since it uses more digits than its factorization.

121764706704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 121764706704 in words is "one hundred twenty-one billion, seven hundred sixty-four million, seven hundred six thousand, seven hundred four".