11012182272 has 432 divisors, whose sum is σ = 39855449088. Its totient is φ = 2846638080.

The previous prime is 11012182271. The next prime is 11012182331. The reversal of 11012182272 is 27228121011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11012182271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11111697 + ... + 11112687.

It is an arithmetic number, because the mean of its divisors is an integer number (92257984).

Almost surely, 2^11012182272 is an apocalyptic number.

11012182272 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 11012182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927724544).

11012182272 is an abundant number, since it is smaller than the sum of its proper divisors (28843266816).

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

11012182272 is a wasteful number, since it uses less digits than its factorization.

11012182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11012182272 in words is "eleven billion, twelve million, one hundred eighty-two thousand, two hundred seventy-two".