120210010020 has 144 divisors (see below), whose sum is σ = 387322855920. Its totient is φ = 30073724928.

The previous prime is 120210010009. The next prime is 120210010033. The reversal of 120210010020 is 20010012021.

It can be written as a sum of positive squares in 8 ways, for example, as 122810724 + 120087199296 = 11082^2 + 346536^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120210009984 and 120210010011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895026 + ... + 1020534.

It is an arithmetic number, because the mean of its divisors is an integer number (2689742055).

Almost surely, 2^120210010020 is an apocalyptic number.

120210010020 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 120210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193661427960).

120210010020 is an abundant number, since it is smaller than the sum of its proper divisors (267112845900).

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

120210010020 is a wasteful number, since it uses less digits than its factorization.

120210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125854 (or 125849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120210010020 its reverse (20010012021), we get a palindrome (140220022041).

The spelling of 120210010020 in words is "one hundred twenty billion, two hundred ten million, ten thousand, twenty".