1126231680 has 192 divisors, whose sum is σ = 4176312480. Its totient is φ = 257402880.

The previous prime is 1126231679. The next prime is 1126231681. The reversal of 1126231680 is 861326211.

It is an interprime number because it is at equal distance from previous prime (1126231679) and next prime (1126231681).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1126231681) 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 23 ways as a sum of consecutive naturals, for example, 88095 + ... + 100065.

Almost surely, 2^1126231680 is an apocalyptic number.

1126231680 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 1126231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088156240).

1126231680 is an abundant number, since it is smaller than the sum of its proper divisors (3050080800).

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

1126231680 is a wasteful number, since it uses less digits than its factorization.

1126231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1126231680 is about 33559.3754411491. The cubic root of 1126231680 is about 1040.4213283008.

Adding to 1126231680 its reverse (861326211), we get a palindrome (1987557891).

The spelling of 1126231680 in words is "one billion, one hundred twenty-six million, two hundred thirty-one thousand, six hundred eighty".