11012032000 has 160 divisors (see below), whose sum is σ = 28656897984. Its totient is φ = 4212736000.

The previous prime is 11012031983. The next prime is 11012032051. The reversal of 11012032000 is 23021011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1468260 + ... + 1475740.

Almost surely, 2^11012032000 is an apocalyptic number.

11012032000 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 11012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328448992).

11012032000 is an abundant number, since it is smaller than the sum of its proper divisors (17644865984).

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

11012032000 is an frugal number, since it uses more digits than its factorization.

11012032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11012032000 its reverse (23021011), we get a palindrome (11035053011).

The spelling of 11012032000 in words is "eleven billion, twelve million, thirty-two thousand".