11142100032 has 112 divisors (see below), whose sum is σ = 34006901760. Its totient is φ = 3153664512.

The previous prime is 11142100003. The next prime is 11142100097. The reversal of 11142100032 is 23000124111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11142099984 and 11142100020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105069 + ... + 182547.

Almost surely, 2^11142100032 is an apocalyptic number.

11142100032 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 11142100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003450880).

11142100032 is an abundant number, since it is smaller than the sum of its proper divisors (22864801728).

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

11142100032 is a wasteful number, since it uses less digits than its factorization.

11142100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77608 (or 77598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11142100032 its reverse (23000124111), we get a palindrome (34142224143).

The spelling of 11142100032 in words is "eleven billion, one hundred forty-two million, one hundred thousand, thirty-two".