1141134233112 has 80 divisors (see below), whose sum is σ = 3236691242400. Its totient is φ = 375563148480.

The previous prime is 1141134233093. The next prime is 1141134233131. The reversal of 1141134233112 is 2113324311411.

1141134233112 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 342 + 3 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1141134233093) and next prime (1141134233131).

It is a super-2 number, since 2×1141134233112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 11094439 + ... + 11196822.

It is an arithmetic number, because the mean of its divisors is an integer number (40458640530).

Almost surely, 2^{1141134233112} is an apocalyptic number.

1141134233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141134233112 is an abundant number, since it is smaller than the sum of its proper divisors (2095557009288).

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

1141134233112 is a wasteful number, since it uses less digits than its factorization.

1141134233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22291358 (or 22291345 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1141134233112 its reverse (2113324311411), we get a palindrome (3254458544523).

It can be divided in two parts, 114113 and 4233112, that added together give a square (4347225 = 2085²).

The spelling of 1141134233112 in words is "one trillion, one hundred forty-one billion, one hundred thirty-four million, two hundred thirty-three thousand, one hundred twelve".