11220113322000 has 1920 divisors, whose sum is σ = 48522443793408. Its totient is φ = 2381930496000.

The previous prime is 11220113321953. The next prime is 11220113322007. The reversal of 11220113322000 is 22331102211.

11220113322000 is a `hidden beast` number, since 1 + 122 + 0 + 11 + 332 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11220113322007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2864464042 + ... + 2864467958.

Almost surely, 2^{11220113322000} is an apocalyptic number.

11220113322000 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 11220113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261221896704).

11220113322000 is an abundant number, since it is smaller than the sum of its proper divisors (37302330471408).

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

11220113322000 is a wasteful number, since it uses less digits than its factorization.

11220113322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11220113322000 its reverse (22331102211), we get a palindrome (11242444424211).

The spelling of 11220113322000 in words is "eleven trillion, two hundred twenty billion, one hundred thirteen million, three hundred twenty-two thousand".