11226930240 has 224 divisors, whose sum is σ = 37143659520. Its totient is φ = 2869862400.

The previous prime is 11226930199. The next prime is 11226930289. The reversal of 11226930240 is 4203962211.

It is a super-2 number, since 2×11226930240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11226930198 and 11226930207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3242110 + ... + 3245570.

Almost surely, 2^11226930240 is an apocalyptic number.

11226930240 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 11226930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571829760).

11226930240 is an abundant number, since it is smaller than the sum of its proper divisors (25916729280).

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

11226930240 is a wasteful number, since it uses less digits than its factorization.

11226930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 11226930240 in words is "eleven billion, two hundred twenty-six million, nine hundred thirty thousand, two hundred forty".