120012120100000 has 144 divisors (see below), whose sum is σ = 295343551865376. Its totient is φ = 48001576480000.

The previous prime is 120012120099979. The next prime is 120012120100003. The reversal of 120012120100000 is 1021210021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 120012120100000.

It is not an unprimeable number, because it can be changed into a prime (120012120100003) 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, 1916268687 + ... + 1916331313.

It is an arithmetic number, because the mean of its divisors is an integer number (2050996887954).

Almost surely, 2^{120012120100000} is an apocalyptic number.

120012120100000 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 120012120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147671775932688).

120012120100000 is an abundant number, since it is smaller than the sum of its proper divisors (175331431765376).

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

120012120100000 is an frugal number, since it uses more digits than its factorization.

120012120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81825 (or 81797 counting only the distinct ones).

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

Adding to 120012120100000 its reverse (1021210021), we get a palindrome (120013141310021).

The spelling of 120012120100000 in words is "one hundred twenty trillion, twelve billion, one hundred twenty million, one hundred thousand".