123800826240 has 1536 divisors, whose sum is σ = 573137510400. Its totient is φ = 23887872000.

The previous prime is 123800826223. The next prime is 123800826241. The reversal of 123800826240 is 42628008321.

123800826240 is a `hidden beast` number, since 1 + 23 + 8 + 0 + 0 + 8 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123800826195 and 123800826204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123800826241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308730040 + ... + 308730440.

It is an arithmetic number, because the mean of its divisors is an integer number (373136400).

Almost surely, 2^123800826240 is an apocalyptic number.

123800826240 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 123800826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286568755200).

123800826240 is an abundant number, since it is smaller than the sum of its proper divisors (449336684160).

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

123800826240 is a wasteful number, since it uses less digits than its factorization.

123800826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 123800826240 in words is "one hundred twenty-three billion, eight hundred million, eight hundred twenty-six thousand, two hundred forty".