12111001000000 has 784 divisors, whose sum is σ = 35343965091456. Its totient is φ = 4032000000000.

The previous prime is 12111000999989. The next prime is 12111001000019. The reversal of 12111001000000 is 10011121.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48250999875 + ... + 48251000125.

Almost surely, 2^{12111001000000} is an apocalyptic number.

12111001000000 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 12111001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671982545728).

12111001000000 is an abundant number, since it is smaller than the sum of its proper divisors (23232964091456).

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

12111001000000 is an frugal number, since it uses more digits than its factorization.

12111001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12111001000000 its reverse (10011121), we get a palindrome (12111011011121).

The spelling of 12111001000000 in words is "twelve trillion, one hundred eleven billion, one million", and thus it is an aban number.