211122001022112 has 144 divisors (see below), whose sum is σ = 626504291824320. Its totient is φ = 67311821930496.

The previous prime is 211122001022111. The next prime is 211122001022123. The reversal of 211122001022112 is 211220100221112.

211122001022112 is a `hidden beast` number, since 211 + 1 + 220 + 0 + 1 + 0 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211122001022111) 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, 186823003 + ... + 187949669.

It is an arithmetic number, because the mean of its divisors is an integer number (4350724248780).

Almost surely, 2^{211122001022112} is an apocalyptic number.

It is an amenable number.

211122001022112 is an abundant number, since it is smaller than the sum of its proper divisors (415382290802208).

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

211122001022112 is a wasteful number, since it uses less digits than its factorization.

211122001022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154995 (or 1154984 counting only the distinct ones).

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

Adding to 211122001022112 its reverse (211220100221112), we get a palindrome (422342101243224).

The spelling of 211122001022112 in words is "two hundred eleven trillion, one hundred twenty-two billion, one million, twenty-two thousand, one hundred twelve".