121311120 has 160 divisors (see below), whose sum is σ = 433400832. Its totient is φ = 27495936.

The previous prime is 121311103. The next prime is 121311121. The reversal of 121311120 is 21113121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121311096 and 121311105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273619 + ... + 274061.

Almost surely, 2^121311120 is an apocalyptic number.

121311120 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 121311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216700416).

121311120 is an abundant number, since it is smaller than the sum of its proper divisors (312089712).

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

121311120 is a wasteful number, since it uses less digits than its factorization.

121311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 121311120 is about 11014.1327393490. The cubic root of 121311120 is about 495.0323007184.

Adding to 121311120 its reverse (21113121), we get a palindrome (142424241).

The spelling of 121311120 in words is "one hundred twenty-one million, three hundred eleven thousand, one hundred twenty".