121851968 has 112 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 49373184.

The previous prime is 121851949. The next prime is 121851973. The reversal of 121851968 is 869158121.

It is a tau number, because it is divible by the number of its divisors (112).

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, 1078280 + ... + 1078392.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^121851968 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 121851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

121851968 is an abundant number, since it is smaller than the sum of its proper divisors (170024512).

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

121851968 is a wasteful number, since it uses less digits than its factorization.

121851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 34560, while the sum is 41.

The square root of 121851968 is about 11038.6578894357. The cubic root of 121851968 is about 495.7668866415.

The spelling of 121851968 in words is "one hundred twenty-one million, eight hundred fifty-one thousand, nine hundred sixty-eight".