123406778880 has 1600 divisors, whose sum is σ = 564688143360. Its totient is φ = 25015910400.

The previous prime is 123406778779. The next prime is 123406778897. The reversal of 123406778880 is 88877604321.

It is a happy number.

123406778880 is a `hidden beast` number, since 12 + 3 + 406 + 77 + 88 + 80 = 666.

123406778880 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 942036415 + ... + 942036545.

Almost surely, 2^123406778880 is an apocalyptic number.

123406778880 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 123406778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282344071680).

123406778880 is an abundant number, since it is smaller than the sum of its proper divisors (441281364480).

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

123406778880 is a wasteful number, since it uses less digits than its factorization.

123406778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 123406778880 in words is "one hundred twenty-three billion, four hundred six million, seven hundred seventy-eight thousand, eight hundred eighty".