123413024000 has 144 divisors (see below), whose sum is σ = 351357517056. Its totient is φ = 42312960000.

The previous prime is 123413023969. The next prime is 123413024027. The reversal of 123413024000 is 420314321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51476 + ... + 499475.

Almost surely, 2^123413024000 is an apocalyptic number.

123413024000 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 123413024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175678758528).

123413024000 is an abundant number, since it is smaller than the sum of its proper divisors (227944493056).

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

123413024000 is an frugal number, since it uses more digits than its factorization.

123413024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550989 (or 550965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123413024000 its reverse (420314321), we get a palindrome (123833338321).

The spelling of 123413024000 in words is "one hundred twenty-three billion, four hundred thirteen million, twenty-four thousand".