121331311120 has 80 divisors (see below), whose sum is σ = 297164730240. Its totient is φ = 45943759872.

The previous prime is 121331311117. The next prime is 121331311147. The reversal of 121331311120 is 21113133121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048644 + ... + 2107036.

It is an arithmetic number, because the mean of its divisors is an integer number (3714559128).

Almost surely, 2^121331311120 is an apocalyptic number.

121331311120 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 121331311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148582365120).

121331311120 is an abundant number, since it is smaller than the sum of its proper divisors (175833419120).

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

121331311120 is a wasteful number, since it uses less digits than its factorization.

121331311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59792 (or 59786 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 121331311120 its reverse (21113133121), we get a palindrome (142444444241).

The spelling of 121331311120 in words is "one hundred twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, one hundred twenty".