120012412000000 has 1008 divisors, whose sum is σ = 333233525806272. Its totient is φ = 42854400000000.

The previous prime is 120012411999967. The next prime is 120012412000001. The reversal of 120012412000000 is 214210021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012412000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 385891999845 + ... + 385892000155.

It is an arithmetic number, because the mean of its divisors is an integer number (330588815284).

Almost surely, 2^{120012412000000} is an apocalyptic number.

120012412000000 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 120012412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166616762903136).

120012412000000 is an abundant number, since it is smaller than the sum of its proper divisors (213221113806272).

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

120012412000000 is an frugal number, since it uses more digits than its factorization.

120012412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120012412000000 its reverse (214210021), we get a palindrome (120012626210021).

The spelling of 120012412000000 in words is "one hundred twenty trillion, twelve billion, four hundred twelve million", and thus it is an aban number.