12011221566090 has 96 divisors (see below), whose sum is σ = 32887522437120. Its totient is φ = 3033056437632.

The previous prime is 12011221566073. The next prime is 12011221566101. The reversal of 12011221566090 is 9066512211021.

12011221566090 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 2 + 2 + 1 + 566 + 0 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255287 + ... + 5395253.

It is an arithmetic number, because the mean of its divisors is an integer number (342578358720).

Almost surely, 2^{12011221566090} is an apocalyptic number.

12011221566090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011221566090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443761218560).

12011221566090 is an abundant number, since it is smaller than the sum of its proper divisors (20876300871030).

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

12011221566090 is a wasteful number, since it uses less digits than its factorization.

12011221566090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142236 (or 3142233 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12011221566090 in words is "twelve trillion, eleven billion, two hundred twenty-one million, five hundred sixty-six thousand, ninety".