120020120020 has 96 divisors (see below), whose sum is σ = 270301310496. Its totient is φ = 44605440000.

The previous prime is 120020119981. The next prime is 120020120021. The reversal of 120020120020 is 20021020021.

It can be written as a sum of positive squares in 16 ways, for example, as 5818028176 + 114202091844 = 76276^2 + 337938^2 .

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 = 120020119979 and 120020120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020120021) 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, 12117070 + ... + 12126970.

It is an arithmetic number, because the mean of its divisors is an integer number (2815638651).

Almost surely, 2^120020120020 is an apocalyptic number.

120020120020 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 120020120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135150655248).

120020120020 is an abundant number, since it is smaller than the sum of its proper divisors (150281190476).

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

120020120020 is a wasteful number, since it uses less digits than its factorization.

120020120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020120020 its reverse (20021020021), we get a palindrome (140041140041).

Subtracting from 120020120020 its reverse (20021020021), we obtain a palindrome (99999099999).

It can be divided in two parts, 1200201 and 20020, that added together give a palindrome (1220221).

The spelling of 120020120020 in words is "one hundred twenty billion, twenty million, one hundred twenty thousand, twenty".