123214113600 has 168 divisors, whose sum is σ = 406279502400. Its totient is φ = 32691732480.

The previous prime is 123214113599. The next prime is 123214113611. The reversal of 123214113600 is 6311412321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 890704 + ... + 1019696.

Almost surely, 2^123214113600 is an apocalyptic number.

123214113600 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 123214113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203139751200).

123214113600 is an abundant number, since it is smaller than the sum of its proper divisors (283065388800).

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

123214113600 is a wasteful number, since it uses less digits than its factorization.

123214113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129217 (or 129202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 123214113600 its reverse (6311412321), we get a palindrome (129525525921).

The spelling of 123214113600 in words is "one hundred twenty-three billion, two hundred fourteen million, one hundred thirteen thousand, six hundred".