120011020120 has 128 divisors (see below), whose sum is σ = 302907340800. Its totient is φ = 42574726656.

The previous prime is 120011020111. The next prime is 120011020127. The reversal of 120011020120 is 21020110021.

120011020120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120011020120³ (a number of 34 digits) contains 333 as substring.

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 = 120011020097 and 120011020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011020127) 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, 748522 + ... + 894598.

It is an arithmetic number, because the mean of its divisors is an integer number (2366463600).

Almost surely, 2^120011020120 is an apocalyptic number.

120011020120 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 120011020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151453670400).

120011020120 is an abundant number, since it is smaller than the sum of its proper divisors (182896320680).

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

120011020120 is a wasteful number, since it uses less digits than its factorization.

120011020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146177 (or 146173 counting only the distinct ones).

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

Adding to 120011020120 its reverse (21020110021), we get a palindrome (141031130141).

The spelling of 120011020120 in words is "one hundred twenty billion, eleven million, twenty thousand, one hundred twenty".