121616120 has 32 divisors (see below), whose sum is σ = 276354720. Its totient is φ = 48163200.

The previous prime is 121616107. The next prime is 121616129. The reversal of 121616120 is 21616121.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121616092 and 121616101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121616129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11012 + ... + 19091.

It is an arithmetic number, because the mean of its divisors is an integer number (8636085).

Almost surely, 2^121616120 is an apocalyptic number.

121616120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121616120 is an abundant number, since it is smaller than the sum of its proper divisors (154738600).

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

121616120 is a wasteful number, since it uses less digits than its factorization.

121616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30215 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 121616120 is about 11027.9698947721. The cubic root of 121616120 is about 495.4468230172.

121616120 divided by its sum of digits (20) gives a palindrome (6080806).

Subtracting from 121616120 its reverse (21616121), we obtain a palindrome (99999999).

It can be divided in two parts, 12161 and 6120, that added together give a palindrome (18281).

The spelling of 121616120 in words is "one hundred twenty-one million, six hundred sixteen thousand, one hundred twenty".