123413416000 has 112 divisors (see below), whose sum is σ = 349295386752. Its totient is φ = 42313152000.

The previous prime is 123413415953. The next prime is 123413416001. The reversal of 123413416000 is 614314321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123413416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045906 + ... + 1157905.

Almost surely, 2^123413416000 is an apocalyptic number.

123413416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123413416000 is an abundant number, since it is smaller than the sum of its proper divisors (225881970752).

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

123413416000 is an equidigital number, since it uses as much as digits as its factorization.

123413416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203845 (or 2203825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 123413416000 in words is "one hundred twenty-three billion, four hundred thirteen million, four hundred sixteen thousand".