11226002244420 has 192 divisors, whose sum is σ = 31882346496000. Its totient is φ = 2951128857600.

The previous prime is 11226002244409. The next prime is 11226002244463. The reversal of 11226002244420 is 2444220062211.

It is a super-2 number, since 2×11226002244420² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226746845 + ... + 1226755995.

It is an arithmetic number, because the mean of its divisors is an integer number (166053888000).

Almost surely, 2^{11226002244420} is an apocalyptic number.

11226002244420 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 11226002244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941173248000).

11226002244420 is an abundant number, since it is smaller than the sum of its proper divisors (20656344251580).

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

11226002244420 is a wasteful number, since it uses less digits than its factorization.

11226002244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 11226002244420 in words is "eleven trillion, two hundred twenty-six billion, two million, two hundred forty-four thousand, four hundred twenty".