121669600 has 72 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 44920320.

The previous prime is 121669589. The next prime is 121669601. The reversal of 121669600 is 6966121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121669601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4551 + ... + 16249.

It is an arithmetic number, because the mean of its divisors is an integer number (4443075).

Almost surely, 2^121669600 is an apocalyptic number.

121669600 is a gapful number since it is divisible by the number (10) 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 121669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

121669600 is an abundant number, since it is smaller than the sum of its proper divisors (198231800).

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

121669600 is a wasteful number, since it uses less digits than its factorization.

121669600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 121669600 is about 11030.3943719162. The cubic root of 121669600 is about 495.5194356860.

The spelling of 121669600 in words is "one hundred twenty-one million, six hundred sixty-nine thousand, six hundred".