123815741280 has 768 divisors, whose sum is σ = 510424104960. Its totient is φ = 24475852800.

The previous prime is 123815741279. The next prime is 123815741281. The reversal of 123815741280 is 82147518321.

It is an interprime number because it is at equal distance from previous prime (123815741279) and next prime (123815741281).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123815741281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76099827 + ... + 76101453.

It is an arithmetic number, because the mean of its divisors is an integer number (664614720).

Almost surely, 2^123815741280 is an apocalyptic number.

123815741280 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 123815741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255212052480).

123815741280 is an abundant number, since it is smaller than the sum of its proper divisors (386608363680).

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

123815741280 is a wasteful number, since it uses less digits than its factorization.

123815741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 123815741280 in words is "one hundred twenty-three billion, eight hundred fifteen million, seven hundred forty-one thousand, two hundred eighty".