1126812900192 has 384 divisors, whose sum is σ = 3822188912640. Its totient is φ = 283119943680.

The previous prime is 1126812900113. The next prime is 1126812900197. The reversal of 1126812900192 is 2910092186211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126812900197) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10215318 + ... + 10325034.

It is an arithmetic number, because the mean of its divisors is an integer number (9953616960).

Almost surely, 2^{1126812900192} is an apocalyptic number.

1126812900192 is a gapful number since it is divisible by the number (12) 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 1126812900192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911094456320).

1126812900192 is an abundant number, since it is smaller than the sum of its proper divisors (2695376012448).

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

1126812900192 is a wasteful number, since it uses less digits than its factorization.

1126812900192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109814 (or 109806 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 1126812900192 in words is "one trillion, one hundred twenty-six billion, eight hundred twelve million, nine hundred thousand, one hundred ninety-two".