121893264 has 180 divisors, whose sum is σ = 378586260. Its totient is φ = 36556800.

The previous prime is 121893257. The next prime is 121893313. The reversal of 121893264 is 462398121.

It can be written as a sum of positive squares in 6 ways, for example, as 38937600 + 82955664 = 6240^2 + 9108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206814 + ... + 1206914.

It is an arithmetic number, because the mean of its divisors is an integer number (2103257).

Almost surely, 2^121893264 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 121893264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189293130).

121893264 is an abundant number, since it is smaller than the sum of its proper divisors (256692996).

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

121893264 is a wasteful number, since it uses less digits than its factorization.

121893264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121893264 is about 11040.5282482316. The cubic root of 121893264 is about 495.8228859477.

The spelling of 121893264 in words is "one hundred twenty-one million, eight hundred ninety-three thousand, two hundred sixty-four".