12011221011000 has 128 divisors (see below), whose sum is σ = 37478065248000. Its totient is φ = 3202731100800.

The previous prime is 12011221010977. The next prime is 12011221011047. The reversal of 12011221011000 is 11012211021.

12011221011000 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38132151 + ... + 38445849.

It is an arithmetic number, because the mean of its divisors is an integer number (292797384750).

Almost surely, 2^{12011221011000} is an apocalyptic number.

12011221011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011221011000 is an abundant number, since it is smaller than the sum of its proper divisors (25466844237000).

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

12011221011000 is a wasteful number, since it uses less digits than its factorization.

12011221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326486 (or 326472 counting only the distinct ones).

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

Adding to 12011221011000 its reverse (11012211021), we get a palindrome (12022233222021).

It can be divided in two parts, 1201122 and 1011000, that added together give a palindrome (2212122).

The spelling of 12011221011000 in words is "twelve trillion, eleven billion, two hundred twenty-one million, eleven thousand".