121766016 has 128 divisors (see below), whose sum is σ = 341936640. Its totient is φ = 38338560.

The previous prime is 121765999. The next prime is 121766039. The reversal of 121766016 is 610667121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 630816 + ... + 631008.

It is an arithmetic number, because the mean of its divisors is an integer number (2671380).

Almost surely, 2^121766016 is an apocalyptic number.

121766016 is a gapful number since it is divisible by the number (16) 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 121766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170968320).

121766016 is an abundant number, since it is smaller than the sum of its proper divisors (220170624).

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

121766016 is a wasteful number, since it uses less digits than its factorization.

121766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 121766016 is about 11034.7639757269. The cubic root of 121766016 is about 495.6502911272.

The spelling of 121766016 in words is "one hundred twenty-one million, seven hundred sixty-six thousand, sixteen".