123278782704000 has 4096 divisors, whose sum is σ = 542776375664640. Its totient is φ = 24015273984000.

The previous prime is 123278782703971. The next prime is 123278782704019. The reversal of 123278782704000 is 407287872321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 529093487884 + ... + 529093488116.

It is an arithmetic number, because the mean of its divisors is an integer number (132513763590).

Almost surely, 2^{123278782704000} is an apocalyptic number.

123278782704000 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 123278782704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271388187832320).

123278782704000 is an abundant number, since it is smaller than the sum of its proper divisors (419497592960640).

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

123278782704000 is a wasteful number, since it uses less digits than its factorization.

123278782704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 123278782704000 in words is "one hundred twenty-three trillion, two hundred seventy-eight billion, seven hundred eighty-two million, seven hundred four thousand".