121889264 has 60 divisors (see below), whose sum is σ = 277475544. Its totient is φ = 51714432.

The previous prime is 121889263. The next prime is 121889279. The reversal of 121889264 is 462988121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121889263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83162 + ... + 84614.

Almost surely, 2^121889264 is an apocalyptic number.

121889264 is a gapful number since it is divisible by the number (14) 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 121889264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138737772).

121889264 is an abundant number, since it is smaller than the sum of its proper divisors (155586280).

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

121889264 is a wasteful number, since it uses less digits than its factorization.

121889264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1569 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 121889264 is about 11040.3470959930. The cubic root of 121889264 is about 495.8174623140.

The spelling of 121889264 in words is "one hundred twenty-one million, eight hundred eighty-nine thousand, two hundred sixty-four".