123254531400 has 1152 divisors, whose sum is σ = 550014796800. Its totient is φ = 22382438400.

The previous prime is 123254531383. The next prime is 123254531423. The reversal of 123254531400 is 4135452321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79879029 + ... + 79880571.

It is an arithmetic number, because the mean of its divisors is an integer number (477443400).

Almost surely, 2^123254531400 is an apocalyptic number.

123254531400 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 123254531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275007398400).

123254531400 is an abundant number, since it is smaller than the sum of its proper divisors (426760265400).

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

123254531400 is a wasteful number, since it uses less digits than its factorization.

123254531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 123254531400 its reverse (4135452321), we get a palindrome (127389983721).

The spelling of 123254531400 in words is "one hundred twenty-three billion, two hundred fifty-four million, five hundred thirty-one thousand, four hundred".