211121122012000 has 96 divisors (see below), whose sum is σ = 518777085232224. Its totient is φ = 84439903680000.

The previous prime is 211121122011971. The next prime is 211121122012039. The reversal of 211121122012000 is 210221121112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36938599 + ... + 42269401.

It is an arithmetic number, because the mean of its divisors is an integer number (5403927971169).

Almost surely, 2^{211121122012000} is an apocalyptic number.

211121122012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121122012000 is an abundant number, since it is smaller than the sum of its proper divisors (307655963220224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211121122012000 is an equidigital number, since it uses as much as digits as its factorization.

211121122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340729 (or 5340711 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121122012000 its reverse (210221121112), we get a palindrome (211331343133112).

The spelling of 211121122012000 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand".