11142333312 has 256 divisors, whose sum is σ = 33407562240. Its totient is φ = 3261440000.

The previous prime is 11142333283. The next prime is 11142333329. The reversal of 11142333312 is 21333324111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15894562 + ... + 15895262.

It is an arithmetic number, because the mean of its divisors is an integer number (130498290).

Almost surely, 2^11142333312 is an apocalyptic number.

11142333312 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 11142333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703781120).

11142333312 is an abundant number, since it is smaller than the sum of its proper divisors (22265228928).

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

11142333312 is a wasteful number, since it uses less digits than its factorization.

11142333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 11142333312 its reverse (21333324111), we get a palindrome (32475657423).

The spelling of 11142333312 in words is "eleven billion, one hundred forty-two million, three hundred thirty-three thousand, three hundred twelve".