1126275106000 has 160 divisors (see below), whose sum is σ = 2972172018816. Its totient is φ = 409380480000.

The previous prime is 1126275105997. The next prime is 1126275106013. The reversal of 1126275106000 is 6015726211.

It is a super-2 number, since 2×1126275106000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 59016460 + ... + 59035540.

Almost surely, 2^{1126275106000} is an apocalyptic number.

1126275106000 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 1126275106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486086009408).

1126275106000 is an abundant number, since it is smaller than the sum of its proper divisors (1845896912816).

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

1126275106000 is a wasteful number, since it uses less digits than its factorization.

1126275106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21798 (or 21782 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1126275106000 in words is "one trillion, one hundred twenty-six billion, two hundred seventy-five million, one hundred six thousand".