121313013200 has 60 divisors (see below), whose sum is σ = 308598914700. Its totient is φ = 45670778880.

The previous prime is 121313013191. The next prime is 121313013203. The reversal of 121313013200 is 2310313121.

It can be written as a sum of positive squares in 6 ways, for example, as 1594245184 + 119718768016 = 39928^2 + 346004^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313013203) 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, 8913275 + ... + 8926874.

It is an arithmetic number, because the mean of its divisors is an integer number (5143315245).

Almost surely, 2^121313013200 is an apocalyptic number.

121313013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121313013200 is an abundant number, since it is smaller than the sum of its proper divisors (187285901500).

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

121313013200 is a wasteful number, since it uses less digits than its factorization.

121313013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17840184 (or 17840173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 121313013200 its reverse (2310313121), we get a palindrome (123623326321).

The spelling of 121313013200 in words is "one hundred twenty-one billion, three hundred thirteen million, thirteen thousand, two hundred".