121965783696 has 225 divisors, whose sum is σ = 360320688651. Its totient is φ = 39829667328.

The previous prime is 121965783629. The next prime is 121965783713. The reversal of 121965783696 is 696387569121.

The square root of 121965783696 is 349236.

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

121965783696 is a `hidden beast` number, since 1 + 21 + 9 + 6 + 578 + 36 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2028241296 + 119937542400 = 45036^2 + 346320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1118952090 + ... + 1118952198.

Almost surely, 2^121965783696 is an apocalyptic number.

121965783696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121965783696 is the 349236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121965783696

121965783696 is an abundant number, since it is smaller than the sum of its proper divisors (238354904955).

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

121965783696 is an frugal number, since it uses more digits than its factorization.

121965783696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 203 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 121965783696 in words is "one hundred twenty-one billion, nine hundred sixty-five million, seven hundred eighty-three thousand, six hundred ninety-six".