11122201012000 has 96 divisors (see below), whose sum is σ = 29429344015344. Its totient is φ = 4106658816000.

The previous prime is 11122201011841. The next prime is 11122201012037. The reversal of 11122201012000 is 21010222111.

It can be written as a sum of positive squares in 8 ways, for example, as 890826394896 + 10231374617104 = 943836^2 + 3198652^2 .

It is a super-3 number, since 3×11122201012000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106892241 + ... + 106996240.

Almost surely, 2^{11122201012000} is an apocalyptic number.

11122201012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122201012000 is an abundant number, since it is smaller than the sum of its proper divisors (18307143003344).

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

11122201012000 is a wasteful number, since it uses less digits than its factorization.

11122201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213888519 (or 213888501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11122201012000 its reverse (21010222111), we get a palindrome (11143211234111).

The spelling of 11122201012000 in words is "eleven trillion, one hundred twenty-two billion, two hundred one million, twelve thousand".