16121160 has 256 divisors, whose sum is σ = 62208000. Its totient is φ = 3674880.

The previous prime is 16121143. The next prime is 16121179. The reversal of 16121160 is 6112161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273211 + ... + 273269.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^16121160 is an apocalyptic number.

16121160 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 16121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

16121160 is an abundant number, since it is smaller than the sum of its proper divisors (46086840).

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

16121160 is a wasteful number, since it uses less digits than its factorization.

16121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 16121160 is about 4015.1164366678. The cubic root of 16121160 is about 252.6186613461.

It can be divided in two parts, 1612 and 1160, that added together give a palindrome (2772).

The spelling of 16121160 in words is "sixteen million, one hundred twenty-one thousand, one hundred sixty".