20121121022193 has 24 divisors (see below), whose sum is σ = 30972752448768. Its totient is φ = 12557862759552.

The previous prime is 20121121022173. The next prime is 20121121022203. The reversal of 20121121022193 is 39122012112102.

20121121022193 is a `hidden beast` number, since 20 + 1 + 211 + 210 + 2 + 219 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-20121121022193 is a prime.

It is a super-2 number, since 2×20121121022193² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20121121022173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034069880 + ... + 1034089337.

It is an arithmetic number, because the mean of its divisors is an integer number (1290531352032).

Almost surely, 2^{20121121022193} is an apocalyptic number.

20121121022193 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20121121022193 is a deficient number, since it is larger than the sum of its proper divisors (10851631426575).

20121121022193 is a wasteful number, since it uses less digits than its factorization.

20121121022193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068159293 (or 2068159290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 20121121022193 its reverse (39122012112102), we get a palindrome (59243133134295).

The spelling of 20121121022193 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, one hundred ninety-three".