1126591188100 has 243 divisors, whose sum is σ = 2904155693103. Its totient is φ = 378235576320.

The previous prime is 1126591188097. The next prime is 1126591188101. The reversal of 1126591188100 is 18811956211.

The square root of 1126591188100 is 1061410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 276846450244 + 849744737856 = 526162^2 + 921816^2 .

It is a super-2 number, since 2×1126591188100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1126591188101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4383623172 + ... + 4383623428.

Almost surely, 2^{1126591188100} is an apocalyptic number.

1126591188100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1126591188100 is the 1061410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126591188100

1126591188100 is an abundant number, since it is smaller than the sum of its proper divisors (1777564505003).

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

1126591188100 is an equidigital number, since it uses as much as digits as its factorization.

1126591188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 43.

The spelling of 1126591188100 in words is "one trillion, one hundred twenty-six billion, five hundred ninety-one million, one hundred eighty-eight thousand, one hundred".