11233220130000 has 750 divisors, whose sum is σ = 44656780382522. Its totient is φ = 2723181120000.

The previous prime is 11233220129993. The next prime is 11233220130029. The reversal of 11233220130000 is 3102233211.

11233220130000 is a `hidden beast` number, since 1 + 12 + 332 + 20 + 1 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 5249854057536 + 5983366072464 = 2291256^2 + 2446092^2 .

It is a tau number, because it is divible by the number of its divisors (750).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 97952694 + ... + 98067306.

Almost surely, 2^{11233220130000} is an apocalyptic number.

11233220130000 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 11233220130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328390191261).

11233220130000 is an abundant number, since it is smaller than the sum of its proper divisors (33423560252522).

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

11233220130000 is a wasteful number, since it uses less digits than its factorization.

11233220130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114675 (or 114634 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11233220130000 its reverse (3102233211), we get a palindrome (11236322363211).

The spelling of 11233220130000 in words is "eleven trillion, two hundred thirty-three billion, two hundred twenty million, one hundred thirty thousand".