112212211221000 has 768 divisors, whose sum is σ = 429939556300800. Its totient is φ = 27148553568000.

The previous prime is 112212211220981. The next prime is 112212211221001. The reversal of 112212211221000 is 122112212211.

112212211221000 is a `hidden beast` number, since 1 + 1 + 221 + 221 + 1 + 221 + 0 + 0 + 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 (112212211221001) 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, 1344477271 + ... + 1344560729.

It is an arithmetic number, because the mean of its divisors is an integer number (559817130600).

Almost surely, 2^{112212211221000} is an apocalyptic number.

112212211221000 is a gapful number since it is divisible by the number (10) 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 112212211221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214969778150400).

112212211221000 is an abundant number, since it is smaller than the sum of its proper divisors (317727345079800).

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

112212211221000 is a wasteful number, since it uses less digits than its factorization.

112212211221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84009 (or 83983 counting only the distinct ones).

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

Adding to 112212211221000 its reverse (122112212211), we get a palindrome (112334323433211).

The spelling of 112212211221000 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand".