211122112212000 has 1152 divisors, whose sum is σ = 822513110065920. Its totient is φ = 50861260800000.

The previous prime is 211122112211951. The next prime is 211122112212007. The reversal of 211122112212000 is 212211221112.

211122112212000 is a `hidden beast` number, since 21 + 1 + 1 + 221 + 1 + 221 + 200 + 0 = 666.

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 (211122112212007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43974609600 + ... + 43974614400.

It is an arithmetic number, because the mean of its divisors is an integer number (713987074710).

Almost surely, 2^{211122112212000} is an apocalyptic number.

211122112212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411256555032960).

211122112212000 is an abundant number, since it is smaller than the sum of its proper divisors (611390997853920).

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

211122112212000 is a wasteful number, since it uses less digits than its factorization.

211122112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5494 counting only the distinct ones).

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

Adding to 211122112212000 its reverse (212211221112), we get a palindrome (211334323433112).

The spelling of 211122112212000 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand".