121628160 has 120 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 32428032.

The previous prime is 121628141. The next prime is 121628167. The reversal of 121628160 is 61826121.

121628160 is a `hidden beast` number, since 1 + 21 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121628167) 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, 20401 + ... + 25679.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2^121628160 is an apocalyptic number.

121628160 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 121628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

121628160 is an abundant number, since it is smaller than the sum of its proper divisors (299684160).

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

121628160 is an equidigital number, since it uses as much as digits as its factorization.

121628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121628160 is about 11028.5157659587. The cubic root of 121628160 is about 495.4631722284.

The spelling of 121628160 in words is "one hundred twenty-one million, six hundred twenty-eight thousand, one hundred sixty".