121013012120 has 512 divisors, whose sum is σ = 376388812800. Its totient is φ = 33803827200.

The previous prime is 121013012089. The next prime is 121013012137. The reversal of 121013012120 is 21210310121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121013012095 and 121013012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211931435 + ... + 211932005.

It is an arithmetic number, because the mean of its divisors is an integer number (735134400).

Almost surely, 2^121013012120 is an apocalyptic number.

121013012120 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 121013012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188194406400).

121013012120 is an abundant number, since it is smaller than the sum of its proper divisors (255375800680).

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

121013012120 is a wasteful number, since it uses less digits than its factorization.

121013012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121013012120 its reverse (21210310121), we get a palindrome (142223322241).

The spelling of 121013012120 in words is "one hundred twenty-one billion, thirteen million, twelve thousand, one hundred twenty".