123546390240 has 576 divisors, whose sum is σ = 508864495104. Its totient is φ = 24531075072.

The previous prime is 123546390221. The next prime is 123546390259. The reversal of 123546390240 is 42093645321.

It is an interprime number because it is at equal distance from previous prime (123546390221) and next prime (123546390259).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12618627 + ... + 12628413.

It is an arithmetic number, because the mean of its divisors is an integer number (883445304).

Almost surely, 2^123546390240 is an apocalyptic number.

123546390240 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 123546390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254432247552).

123546390240 is an abundant number, since it is smaller than the sum of its proper divisors (385318104864).

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

123546390240 is a wasteful number, since it uses less digits than its factorization.

123546390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 123546390240 in words is "one hundred twenty-three billion, five hundred forty-six million, three hundred ninety thousand, two hundred forty".