121166752 has 96 divisors (see below), whose sum is σ = 295239168. Its totient is φ = 47763456.

The previous prime is 121166729. The next prime is 121166761. The reversal of 121166752 is 257661121.

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, 178638 + ... + 179314.

It is an arithmetic number, because the mean of its divisors is an integer number (3075408).

Almost surely, 2^121166752 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 121166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147619584).

121166752 is an abundant number, since it is smaller than the sum of its proper divisors (174072416).

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

121166752 is a wasteful number, since it uses less digits than its factorization.

121166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 121166752 is about 11007.5770267575. The cubic root of 121166752 is about 494.8358493902.

The spelling of 121166752 in words is "one hundred twenty-one million, one hundred sixty-six thousand, seven hundred fifty-two".