20121221200993 has 16 divisors (see below), whose sum is σ = 22982962778496. Its totient is φ = 17436998275840.

The previous prime is 20121221200943. The next prime is 20121221201009. The reversal of 20121221200993 is 39900212212102.

It is not a de Polignac number, because 20121221200993 - 2¹³ = 20121221192801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121221200943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135643480 + ... + 135791737.

It is an arithmetic number, because the mean of its divisors is an integer number (1436435173656).

Almost surely, 2^{20121221200993} is an apocalyptic number.

20121221200993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20121221200993 is a deficient number, since it is larger than the sum of its proper divisors (2861741577503).

20121221200993 is a wasteful number, since it uses less digits than its factorization.

20121221200993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271435544.

The product of its (nonzero) digits is 7776, while the sum is 34.

It can be divided in two parts, 201212212009 and 93, that added together give a palindrome (201212212102).

The spelling of 20121221200993 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, nine hundred ninety-three".