11222829072 has 480 divisors, whose sum is σ = 42747264000. Its totient is φ = 2784595968.

The previous prime is 11222829049. The next prime is 11222829077. The reversal of 11222829072 is 27092822211.

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

It is not an unprimeable number, because it can be changed into a prime (11222829077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4676929 + ... + 4679327.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 2^11222829072 is an apocalyptic number.

11222829072 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 11222829072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632000).

11222829072 is an abundant number, since it is smaller than the sum of its proper divisors (31524434928).

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

11222829072 is a wasteful number, since it uses less digits than its factorization.

11222829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11222829072 in words is "eleven billion, two hundred twenty-two million, eight hundred twenty-nine thousand, seventy-two".