123113340141440 has 128 divisors (see below), whose sum is σ = 321094577157120. Its totient is φ = 44765617489920.

The previous prime is 123113340141427. The next prime is 123113340141457. The reversal of 123113340141440 is 44141043311321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 123113340141397 and 123113340141406.

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, 110841317 + ... + 111946523.

It is an arithmetic number, because the mean of its divisors is an integer number (2508551384040).

Almost surely, 2^{123113340141440} is an apocalyptic number.

123113340141440 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 123113340141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160547288578560).

123113340141440 is an abundant number, since it is smaller than the sum of its proper divisors (197981237015680).

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

123113340141440 is a wasteful number, since it uses less digits than its factorization.

123113340141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121060 (or 1121048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 123113340141440 its reverse (44141043311321), we get a palindrome (167254383452761).

The spelling of 123113340141440 in words is "one hundred twenty-three trillion, one hundred thirteen billion, three hundred forty million, one hundred forty-one thousand, four hundred forty".