12221000001093 has 256 divisors, whose sum is σ = 19165173350400. Its totient is φ = 6874630963200.

The previous prime is 12221000001079. The next prime is 12221000001113. The reversal of 12221000001093 is 39010000012221.

12221000001093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221000001093 - 2²⁰ = 12220998952517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221000001073) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50709543453 + ... + 50709543693.

It is an arithmetic number, because the mean of its divisors is an integer number (74863958400).

Almost surely, 2^{12221000001093} is an apocalyptic number.

12221000001093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12221000001093 is a deficient number, since it is larger than the sum of its proper divisors (6944173349307).

12221000001093 is a wasteful number, since it uses less digits than its factorization.

12221000001093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 12221000001093 in words is "twelve trillion, two hundred twenty-one billion, one thousand, ninety-three".