121131516160 has 144 divisors (see below), whose sum is σ = 297535800240. Its totient is φ = 47233105920.

The previous prime is 121131516139. The next prime is 121131516167. The reversal of 121131516160 is 61615131121.

It can be written as a sum of positive squares in 8 ways, for example, as 58246926336 + 62884589824 = 241344^2 + 250768^2 .

It is a super-2 number, since 2×121131516160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121131516167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8816176 + ... + 8829904.

It is an arithmetic number, because the mean of its divisors is an integer number (2066220835).

Almost surely, 2^121131516160 is an apocalyptic number.

121131516160 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 121131516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148767900120).

121131516160 is an abundant number, since it is smaller than the sum of its proper divisors (176404284080).

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

121131516160 is a wasteful number, since it uses less digits than its factorization.

121131516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13924 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 121131516160 its reverse (61615131121), we get a palindrome (182746647281).

The spelling of 121131516160 in words is "one hundred twenty-one billion, one hundred thirty-one million, five hundred sixteen thousand, one hundred sixty".