12011111001000 has 160 divisors (see below), whose sum is σ = 41985506071080. Its totient is φ = 3202962912000.

The previous prime is 12011111000989. The next prime is 12011111001007. The reversal of 12011111001000 is 10011111021.

It can be written as a sum of positive squares in 4 ways, for example, as 814899787524 + 11196211213476 = 902718^2 + 3346074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12011111001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74061661 + ... + 74223660.

Almost surely, 2^{12011111001000} is an apocalyptic number.

12011111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011111001000 is an abundant number, since it is smaller than the sum of its proper divisors (29974395070080).

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

12011111001000 is a wasteful number, since it uses less digits than its factorization.

12011111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148285354 (or 148285331 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12011111001000 its reverse (10011111021), we get a palindrome (12021122112021).

The spelling of 12011111001000 in words is "twelve trillion, eleven billion, one hundred eleven million, one thousand".