121687252568 has 64 divisors (see below), whose sum is σ = 267930296640. Its totient is φ = 50718610944.

The previous prime is 121687252501. The next prime is 121687252571. The reversal of 121687252568 is 865252786121.

It is a happy number.

It is a Cunningham number, because it is equal to 348837²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4871246 + ... + 4896162.

It is an arithmetic number, because the mean of its divisors is an integer number (4186410885).

Almost surely, 2^121687252568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121687252568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133965148320).

121687252568 is an abundant number, since it is smaller than the sum of its proper divisors (146243044072).

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

121687252568 is a wasteful number, since it uses less digits than its factorization.

121687252568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27324 (or 27320 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 53.

The spelling of 121687252568 in words is "one hundred twenty-one billion, six hundred eighty-seven million, two hundred fifty-two thousand, five hundred sixty-eight".