121252216680 has 256 divisors, whose sum is σ = 477842112000. Its totient is φ = 26759061504.

The previous prime is 121252216667. The next prime is 121252216711. The reversal of 121252216680 is 86612252121.

121252216680 is a `hidden beast` number, since 121 + 2 + 522 + 1 + 6 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57289 + ... + 495768.

It is an arithmetic number, because the mean of its divisors is an integer number (1866570750).

Almost surely, 2^121252216680 is an apocalyptic number.

121252216680 is a gapful number since it is divisible by the number (10) 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 121252216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238921056000).

121252216680 is an abundant number, since it is smaller than the sum of its proper divisors (356589895320).

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

121252216680 is a wasteful number, since it uses less digits than its factorization.

121252216680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553113 (or 553103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 121252216680 in words is "one hundred twenty-one billion, two hundred fifty-two million, two hundred sixteen thousand, six hundred eighty".