121766514252 has 96 divisors (see below), whose sum is σ = 302390995200. Its totient is φ = 38027232000.

The previous prime is 121766514241. The next prime is 121766514293. The reversal of 121766514252 is 252415667121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23508999 + ... + 23514177.

It is an arithmetic number, because the mean of its divisors is an integer number (3149906200).

Almost surely, 2^121766514252 is an apocalyptic number.

121766514252 is a gapful number since it is divisible by the number (12) 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 121766514252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151195497600).

121766514252 is an abundant number, since it is smaller than the sum of its proper divisors (180624480948).

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

121766514252 is a wasteful number, since it uses less digits than its factorization.

121766514252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6325 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The spelling of 121766514252 in words is "one hundred twenty-one billion, seven hundred sixty-six million, five hundred fourteen thousand, two hundred fifty-two".