112145126400 has 528 divisors, whose sum is σ = 416684044800. Its totient is φ = 29553131520.

The previous prime is 112145126381. The next prime is 112145126447. The reversal of 112145126400 is 4621541211.

112145126400 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 5 + 12 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61515889 + ... + 61517711.

Almost surely, 2^112145126400 is an apocalyptic number.

112145126400 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 112145126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208342022400).

112145126400 is an abundant number, since it is smaller than the sum of its proper divisors (304538918400).

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

112145126400 is a wasteful number, since it uses less digits than its factorization.

112145126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112145126400 its reverse (4621541211), we get a palindrome (116766667611).

The spelling of 112145126400 in words is "one hundred twelve billion, one hundred forty-five million, one hundred twenty-six thousand, four hundred".