123066086400 has 792 divisors, whose sum is σ = 464923548544. Its totient is φ = 32248627200.

The previous prime is 123066086357. The next prime is 123066086449. The reversal of 123066086400 is 4680660321.

123066086400 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 6 + 0 + 8 + 640 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 454118265 + ... + 454118535.

Almost surely, 2^123066086400 is an apocalyptic number.

123066086400 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 123066086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232461774272).

123066086400 is an abundant number, since it is smaller than the sum of its proper divisors (341857462144).

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

123066086400 is an equidigital number, since it uses as much as digits as its factorization.

123066086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 123066086400 in words is "one hundred twenty-three billion, sixty-six million, eighty-six thousand, four hundred".