12100212112000 has 128 divisors (see below), whose sum is σ = 30134400192000. Its totient is φ = 4832000742400.

The previous prime is 12100212111961. The next prime is 12100212112019. The reversal of 12100212112000 is 21121200121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8952729 + ... + 10215271.

It is an arithmetic number, because the mean of its divisors is an integer number (235425001500).

Almost surely, 2^{12100212112000} is an apocalyptic number.

12100212112000 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 12100212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067200096000).

12100212112000 is an abundant number, since it is smaller than the sum of its proper divisors (18034188080000).

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

12100212112000 is an equidigital number, since it uses as much as digits as its factorization.

12100212112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263171 (or 1263149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100212112000 its reverse (21121200121), we get a palindrome (12121333312121).

The spelling of 12100212112000 in words is "twelve trillion, one hundred billion, two hundred twelve million, one hundred twelve thousand".