11228209920 has 432 divisors, whose sum is σ = 41875771392. Its totient is φ = 2769592320.

The previous prime is 11228209907. The next prime is 11228209931. The reversal of 11228209920 is 2990282211.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8213077 + ... + 8214443.

It is an arithmetic number, because the mean of its divisors is an integer number (96934656).

Almost surely, 2^11228209920 is an apocalyptic number.

11228209920 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 11228209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937885696).

11228209920 is an abundant number, since it is smaller than the sum of its proper divisors (30647561472).

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

11228209920 is a wasteful number, since it uses less digits than its factorization.

11228209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11228209920 in words is "eleven billion, two hundred twenty-eight million, two hundred nine thousand, nine hundred twenty".