120111002020 has 96 divisors (see below), whose sum is σ = 272319757920. Its totient is φ = 44334243840.

The previous prime is 120111002009. The next prime is 120111002023. The reversal of 120111002020 is 20200111021.

It can be written as a sum of positive squares in 16 ways, for example, as 58905231616 + 61205770404 = 242704^2 + 247398^2 .

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 = 120111001988 and 120111002006.

It is not an unprimeable number, because it can be changed into a prime (120111002023) 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, 6565446 + ... + 6583714.

It is an arithmetic number, because the mean of its divisors is an integer number (2836664145).

Almost surely, 2^120111002020 is an apocalyptic number.

120111002020 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 120111002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136159878960).

120111002020 is an abundant number, since it is smaller than the sum of its proper divisors (152208755900).

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

120111002020 is a wasteful number, since it uses less digits than its factorization.

120111002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18673 (or 18671 counting only the distinct ones).

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

Adding to 120111002020 its reverse (20200111021), we get a palindrome (140311113041).

The spelling of 120111002020 in words is "one hundred twenty billion, one hundred eleven million, two thousand, twenty".