1126512230400 has 576 divisors, whose sum is σ = 4185552680400. Its totient is φ = 300350177280.

The previous prime is 1126512230387. The next prime is 1126512230401. The reversal of 1126512230400 is 40322156211.

1126512230400 is a `hidden beast` number, since 1 + 1 + 2 + 651 + 2 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1126512230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199062771 + ... + 199068429.

Almost surely, 2^{1126512230400} is an apocalyptic number.

1126512230400 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 1126512230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092776340200).

1126512230400 is an abundant number, since it is smaller than the sum of its proper divisors (3059040450000).

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

1126512230400 is an frugal number, since it uses more digits than its factorization.

1126512230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1126512230400 its reverse (40322156211), we get a palindrome (1166834386611).

The spelling of 1126512230400 in words is "one trillion, one hundred twenty-six billion, five hundred twelve million, two hundred thirty thousand, four hundred".