12120111102000 has 320 divisors, whose sum is σ = 42818739425280. Its totient is φ = 2925029376000.

The previous prime is 12120111101983. The next prime is 12120111102037. The reversal of 12120111102000 is 20111102121.

12120111102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14306256 + ... + 15129744.

It is an arithmetic number, because the mean of its divisors is an integer number (133808560704).

Almost surely, 2^{12120111102000} is an apocalyptic number.

12120111102000 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 12120111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409369712640).

12120111102000 is an abundant number, since it is smaller than the sum of its proper divisors (30698628323280).

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

12120111102000 is a wasteful number, since it uses less digits than its factorization.

12120111102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823749 (or 823733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120111102000 its reverse (20111102121), we get a palindrome (12140222204121).

The spelling of 12120111102000 in words is "twelve trillion, one hundred twenty billion, one hundred eleven million, one hundred two thousand".