121313120 has 48 divisors (see below), whose sum is σ = 289478448. Its totient is φ = 48038400.

The previous prime is 121313117. The next prime is 121313123. The reversal of 121313120 is 21313121.

It is an interprime number because it is at equal distance from previous prime (121313117) and next prime (121313123).

It is a junction number, because it is equal to n+sod(n) for n = 121313095 and 121313104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12407 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (6030801).

Almost surely, 2^121313120 is an apocalyptic number.

121313120 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 121313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144739224).

121313120 is an abundant number, since it is smaller than the sum of its proper divisors (168165328).

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

121313120 is a wasteful number, since it uses less digits than its factorization.

121313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 121313120 is about 11014.2235314161. The cubic root of 121313120 is about 495.0350211592.

Adding to 121313120 its reverse (21313121), we get a palindrome (142626241).

Subtracting from 121313120 its reverse (21313121), we obtain a palindrome (99999999).

It can be divided in two parts, 12131 and 3120, that added together give a palindrome (15251).

The spelling of 121313120 in words is "one hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".