120110013010020 has 288 divisors, whose sum is σ = 372410363445120. Its totient is φ = 28901750169600.

The previous prime is 120110013010019. The next prime is 120110013010151. The reversal of 120110013010020 is 20010310011021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120110013009978 and 120110013010005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571278676 + ... + 571488884.

It is an arithmetic number, because the mean of its divisors is an integer number (1293091539740).

Almost surely, 2^{120110013010020} is an apocalyptic number.

120110013010020 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 120110013010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186205181722560).

120110013010020 is an abundant number, since it is smaller than the sum of its proper divisors (252300350435100).

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

120110013010020 is a wasteful number, since it uses less digits than its factorization.

120110013010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210827 (or 210814 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120110013010020 its reverse (20010310011021), we get a palindrome (140120323021041).

The spelling of 120110013010020 in words is "one hundred twenty trillion, one hundred ten billion, thirteen million, ten thousand, twenty".