1126321688700 has 576 divisors, whose sum is σ = 4123576074240. Its totient is φ = 261750528000.

The previous prime is 1126321688689. The next prime is 1126321688729. The reversal of 1126321688700 is 78861236211.

1126321688700 is a `hidden beast` number, since 1 + 1 + 2 + 632 + 1 + 6 + 8 + 8 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44599477 + ... + 44624723.

It is an arithmetic number, because the mean of its divisors is an integer number (7158986240).

Almost surely, 2^{1126321688700} is an apocalyptic number.

1126321688700 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 1126321688700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061788037120).

1126321688700 is an abundant number, since it is smaller than the sum of its proper divisors (2997254385540).

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

1126321688700 is a wasteful number, since it uses less digits than its factorization.

1126321688700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25355 (or 25342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1126321688700 in words is "one trillion, one hundred twenty-six billion, three hundred twenty-one million, six hundred eighty-eight thousand, seven hundred".