121653360 has 160 divisors (see below), whose sum is σ = 443810880. Its totient is φ = 30523392.

The previous prime is 121653359. The next prime is 121653401. The reversal of 121653360 is 63356121.

121653360 is a `hidden beast` number, since 1 + 2 + 1 + 653 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 35064 + ... + 38376.

It is an arithmetic number, because the mean of its divisors is an integer number (2773818).

Almost surely, 2^121653360 is an apocalyptic number.

121653360 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 121653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221905440).

121653360 is an abundant number, since it is smaller than the sum of its proper divisors (322157520).

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

121653360 is a wasteful number, since it uses less digits than its factorization.

121653360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 121653360 is about 11029.6581995998. The cubic root of 121653360 is about 495.4973880157.

The spelling of 121653360 in words is "one hundred twenty-one million, six hundred fifty-three thousand, three hundred sixty".