123014203450400 has 288 divisors, whose sum is σ = 306029984827392. Its totient is φ = 48277942272000.

The previous prime is 123014203450387. The next prime is 123014203450421. The reversal of 123014203450400 is 4054302410321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9307264592 + ... + 9307277808.

It is an arithmetic number, because the mean of its divisors is an integer number (1062604113984).

Almost surely, 2^{123014203450400} is an apocalyptic number.

123014203450400 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 123014203450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014992413696).

123014203450400 is an abundant number, since it is smaller than the sum of its proper divisors (183015781376992).

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

123014203450400 is a wasteful number, since it uses less digits than its factorization.

123014203450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14372 (or 14359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 123014203450400 its reverse (4054302410321), we get a palindrome (127068505860721).

The spelling of 123014203450400 in words is "one hundred twenty-three trillion, fourteen billion, two hundred three million, four hundred fifty thousand, four hundred".