11229890112 has 448 divisors, whose sum is σ = 40126310400. Its totient is φ = 3008378880.

The previous prime is 11229890101. The next prime is 11229890159. The reversal of 11229890112 is 21109892211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11229890112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30106758 + ... + 30107130.

Almost surely, 2^11229890112 is an apocalyptic number.

11229890112 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 11229890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063155200).

11229890112 is an abundant number, since it is smaller than the sum of its proper divisors (28896420288).

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

11229890112 is a wasteful number, since it uses less digits than its factorization.

11229890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11229890112 in words is "eleven billion, two hundred twenty-nine million, eight hundred ninety thousand, one hundred twelve".