12120002020 has 72 divisors (see below), whose sum is σ = 29900820600. Its totient is φ = 4114252800.

The previous prime is 12120002009. The next prime is 12120002021. The reversal of 12120002020 is 2020002121.

It can be written as a sum of positive squares in 4 ways, for example, as 1121446144 + 10998555876 = 33488^2 + 104874^2 .

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 = 12120001988 and 12120002006.

It is not an unprimeable number, because it can be changed into a prime (12120002021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37756 + ... + 160204.

It is an arithmetic number, because the mean of its divisors is an integer number (415289175).

Almost surely, 2^12120002020 is an apocalyptic number.

12120002020 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 12120002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950410300).

12120002020 is an abundant number, since it is smaller than the sum of its proper divisors (17780818580).

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

12120002020 is a wasteful number, since it uses less digits than its factorization.

12120002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122573 (or 122564 counting only the distinct ones).

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

Adding to 12120002020 its reverse (2020002121), we get a palindrome (14140004141).

The spelling of 12120002020 in words is "twelve billion, one hundred twenty million, two thousand, twenty".