123501240800 has 144 divisors (see below), whose sum is σ = 344732935680. Its totient is φ = 42323074560.

The previous prime is 123501240791. The next prime is 123501240809. The reversal of 123501240800 is 8042105321.

It is an interprime number because it is at equal distance from previous prime (123501240791) and next prime (123501240809).

It is a self number, because there is not a number n which added to its sum of digits gives 123501240800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123501240809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16163381 + ... + 16171019.

It is an arithmetic number, because the mean of its divisors is an integer number (2393978720).

Almost surely, 2^123501240800 is an apocalyptic number.

123501240800 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 123501240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172366467840).

123501240800 is an abundant number, since it is smaller than the sum of its proper divisors (221231694880).

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

123501240800 is a wasteful number, since it uses less digits than its factorization.

123501240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10553 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 123501240800 in words is "one hundred twenty-three billion, five hundred one million, two hundred forty thousand, eight hundred".