123013234201440 has 384 divisors, whose sum is σ = 428565999181824. Its totient is φ = 29408956416000.

The previous prime is 123013234201423. The next prime is 123013234201457. The reversal of 123013234201440 is 44102432310321.

It is an interprime number because it is at equal distance from previous prime (123013234201423) and next prime (123013234201457).

It is a super-4 number, since 4×123013234201440⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123013234201398 and 123013234201407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3746845825 + ... + 3746878655.

It is an arithmetic number, because the mean of its divisors is an integer number (1116057289536).

Almost surely, 2^{123013234201440} is an apocalyptic number.

123013234201440 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 123013234201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214282999590912).

123013234201440 is an abundant number, since it is smaller than the sum of its proper divisors (305552764980384).

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

123013234201440 is a wasteful number, since it uses less digits than its factorization.

123013234201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42654 (or 42646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 123013234201440 its reverse (44102432310321), we get a palindrome (167115666511761).

The spelling of 123013234201440 in words is "one hundred twenty-three trillion, thirteen billion, two hundred thirty-four million, two hundred one thousand, four hundred forty".