113220122214144 has 144 divisors (see below), whose sum is σ = 328860059883264. Its totient is φ = 34294961971200.

The previous prime is 113220122214137. The next prime is 113220122214167. The reversal of 113220122214144 is 441412221022311.

It is a happy number.

113220122214144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17703924 + ... + 23235084.

It is an arithmetic number, because the mean of its divisors is an integer number (2283750415856).

Almost surely, 2^{113220122214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113220122214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164430029941632).

113220122214144 is an abundant number, since it is smaller than the sum of its proper divisors (215639937669120).

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

113220122214144 is a wasteful number, since it uses less digits than its factorization.

113220122214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533614 (or 5533600 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 113220122214144 its reverse (441412221022311), we get a palindrome (554632343236455).

The spelling of 113220122214144 in words is "one hundred thirteen trillion, two hundred twenty billion, one hundred twenty-two million, two hundred fourteen thousand, one hundred forty-four".