121001020120 has 64 divisors (see below), whose sum is σ = 276375758400. Its totient is φ = 47668776960.

The previous prime is 121001020111. The next prime is 121001020171. The reversal of 121001020120 is 21020100121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121001020097 and 121001020106.

It is a congruent number.

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, 2752876 + ... + 2796484.

It is an arithmetic number, because the mean of its divisors is an integer number (4318371225).

Almost surely, 2^121001020120 is an apocalyptic number.

121001020120 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 121001020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138187879200).

121001020120 is an abundant number, since it is smaller than the sum of its proper divisors (155374738280).

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

121001020120 is a wasteful number, since it uses less digits than its factorization.

121001020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44668 (or 44664 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121001020120 its reverse (21020100121), we get a palindrome (142021120241).

The spelling of 121001020120 in words is "one hundred twenty-one billion, one million, twenty thousand, one hundred twenty".