123104620800 has 1728 divisors, whose sum is σ = 551520256000. Its totient is φ = 26824089600.

The previous prime is 123104620783. The next prime is 123104620801. The reversal of 123104620800 is 8026401321.

123104620800 is a `hidden beast` number, since 1 + 2 + 31 + 0 + 4 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (123104620801) 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, 1837382367 + ... + 1837382433.

Almost surely, 2^123104620800 is an apocalyptic number.

123104620800 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 123104620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275760128000).

123104620800 is an abundant number, since it is smaller than the sum of its proper divisors (428415635200).

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

123104620800 is an equidigital number, since it uses as much as digits as its factorization.

123104620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 123104620800 in words is "one hundred twenty-three billion, one hundred four million, six hundred twenty thousand, eight hundred".