112112221112001 has 48 divisors (see below), whose sum is σ = 178702896385728. Its totient is φ = 67165754572800.

The previous prime is 112112221111937. The next prime is 112112221112053. The reversal of 112112221112001 is 100211122211211.

It is a happy number.

It is not a de Polignac number, because 112112221112001 - 2⁶ = 112112221111937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112221192001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13485316 + ... + 20151381.

It is an arithmetic number, because the mean of its divisors is an integer number (3722977008036).

Almost surely, 2^{112112221112001} is an apocalyptic number.

112112221112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112221112001 is a deficient number, since it is larger than the sum of its proper divisors (66590675273727).

112112221112001 is a wasteful number, since it uses less digits than its factorization.

112112221112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33637102 (or 33637099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112221112001 its reverse (100211122211211), we get a palindrome (212323343323212).

The spelling of 112112221112001 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one".