20121122200221 has 24 divisors (see below), whose sum is σ = 33241430640704. Its totient is φ = 11488919160960.

The previous prime is 20121122200213. The next prime is 20121122200279. The reversal of 20121122200221 is 12200222112102.

It is a happy number.

20121122200221 is a `hidden beast` number, since 2 + 0 + 121 + 122 + 200 + 221 = 666.

It is not a de Polignac number, because 20121122200221 - 2³ = 20121122200213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121122200194 and 20121122200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121122200321) 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, 123041995 + ... + 123205416.

Almost surely, 2^{20121122200221} is an apocalyptic number.

20121122200221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121122200221 is a deficient number, since it is larger than the sum of its proper divisors (13120308440483).

20121122200221 is a wasteful number, since it uses less digits than its factorization.

20121122200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246248721 (or 246248718 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121122200221 its reverse (12200222112102), we get a palindrome (32321344312323).

The spelling of 20121122200221 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".