112212111000000 has 1568 divisors, whose sum is σ = 413583541062912. Its totient is φ = 26624000000000.

The previous prime is 112212110999951. The next prime is 112212111000001. The reversal of 112212111000000 is 111212211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112212111000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212111000001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 436622999872 + ... + 436623000128.

Almost surely, 2^{112212111000000} is an apocalyptic number.

112212111000000 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 112212111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206791770531456).

112212111000000 is an abundant number, since it is smaller than the sum of its proper divisors (301371430062912).

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

112212111000000 is a wasteful number, since it uses less digits than its factorization.

112212111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112212111000000 its reverse (111212211), we get a palindrome (112212222212211).

It can be divided in two parts, 1122121 and 11000000, that added together give a palindrome (12122121).

The spelling of 112212111000000 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred eleven million", and thus it is an aban number.