12120012010000 has 100 divisors (see below), whose sum is σ = 29357280475600. Its totient is φ = 4845771216000.

The previous prime is 12120012009983. The next prime is 12120012010003. The reversal of 12120012010000 is 1021002121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×12120012010000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12120012010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21511891 + ... + 22068109.

It is an arithmetic number, because the mean of its divisors is an integer number (293572804756).

Almost surely, 2^{12120012010000} is an apocalyptic number.

12120012010000 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 12120012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678640237800).

12120012010000 is an abundant number, since it is smaller than the sum of its proper divisors (17237268465600).

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

12120012010000 is an equidigital number, since it uses as much as digits as its factorization.

12120012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558426 (or 558405 counting only the distinct ones).

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

Adding to 12120012010000 its reverse (1021002121), we get a palindrome (12121033012121).

The spelling of 12120012010000 in words is "twelve trillion, one hundred twenty billion, twelve million, ten thousand".