1121112333432 has 768 divisors, whose sum is σ = 4009693363200. Its totient is φ = 282556200960.

The previous prime is 1121112333427. The next prime is 1121112333437. The reversal of 1121112333432 is 2343332111211.

1121112333432 is a `hidden beast` number, since 1 + 1 + 211 + 12 + 3 + 3 + 3 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (1121112333427) and next prime (1121112333437).

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 junction number, because it is equal to n+sod(n) for n = 1121112333396 and 1121112333405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121112333437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1641452563 + ... + 1641453245.

It is an arithmetic number, because the mean of its divisors is an integer number (5220954900).

Almost surely, 2^{1121112333432} is an apocalyptic number.

1121112333432 is a gapful number since it is divisible by the number (12) 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 1121112333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004846681600).

1121112333432 is an abundant number, since it is smaller than the sum of its proper divisors (2888581029768).

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

1121112333432 is a wasteful number, since it uses less digits than its factorization.

1121112333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 806 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1121112333432 its reverse (2343332111211), we get a palindrome (3464444444643).

The spelling of 1121112333432 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, three hundred thirty-three thousand, four hundred thirty-two".