121765314 has 64 divisors (see below), whose sum is σ = 272793600. Its totient is φ = 35925120.

The previous prime is 121765309. The next prime is 121765349. The reversal of 121765314 is 413567121.

121765314 = 1642² + 1643² + ... + 1685².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611787 + ... + 611985.

It is an arithmetic number, because the mean of its divisors is an integer number (4262400).

Almost surely, 2^121765314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121765314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136396800).

121765314 is an abundant number, since it is smaller than the sum of its proper divisors (151028286).

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

121765314 is a wasteful number, since it uses less digits than its factorization.

121765314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its digits is 5040, while the sum is 30.

The square root of 121765314 is about 11034.7321671167. The cubic root of 121765314 is about 495.6493386251.

The spelling of 121765314 in words is "one hundred twenty-one million, seven hundred sixty-five thousand, three hundred fourteen".