123022540800 has 714 divisors, whose sum is σ = 461872184072. Its totient is φ = 32487505920.

The previous prime is 123022540793. The next prime is 123022540801. The reversal of 123022540800 is 8045220321.

123022540800 is a `hidden beast` number, since 1 + 2 + 30 + 225 + 408 + 0 + 0 = 666.

123022540800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123022540801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194393549 + ... + 1194393651.

Almost surely, 2^123022540800 is an apocalyptic number.

123022540800 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 123022540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230936092036).

123022540800 is an abundant number, since it is smaller than the sum of its proper divisors (338849643272).

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

123022540800 is an frugal number, since it uses more digits than its factorization.

123022540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 123022540800 in words is "one hundred twenty-three billion, twenty-two million, five hundred forty thousand, eight hundred".