20121012122211 has 64 divisors (see below), whose sum is σ = 40023147709440. Its totient is φ = 9648437368320.

The previous prime is 20121012122089. The next prime is 20121012122213. The reversal of 20121012122211 is 11222121012102.

20121012122211 is a `hidden beast` number, since 20 + 1 + 210 + 1 + 212 + 221 + 1 = 666.

It is not a de Polignac number, because 20121012122211 - 2¹⁷ = 20121011991139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121012122213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372212070 + ... + 372266123.

It is an arithmetic number, because the mean of its divisors is an integer number (625361682960).

Almost surely, 2^{20121012122211} is an apocalyptic number.

20121012122211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121012122211 is a deficient number, since it is larger than the sum of its proper divisors (19902135587229).

20121012122211 is a wasteful number, since it uses less digits than its factorization.

20121012122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744478233 (or 744478227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121012122211 its reverse (11222121012102), we get a palindrome (31343133134313).

The spelling of 20121012122211 in words is "twenty trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, two hundred eleven".