11223233010000 has 300 divisors, whose sum is σ = 42817385925600. Its totient is φ = 2720783520000.

The previous prime is 11223233009957. The next prime is 11223233010001. The reversal of 11223233010000 is 1033232211.

11223233010000 is a `hidden beast` number, since 1 + 1 + 2 + 232 + 330 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223233010001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4678300 + ... + 6658299.

It is an arithmetic number, because the mean of its divisors is an integer number (142724619752).

Almost surely, 2^{11223233010000} is an apocalyptic number.

11223233010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223233010000 is an abundant number, since it is smaller than the sum of its proper divisors (31594152915600).

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

11223233010000 is a wasteful number, since it uses less digits than its factorization.

11223233010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336644 (or 11336620 counting only the distinct ones).

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

Adding to 11223233010000 its reverse (1033232211), we get a palindrome (11224266242211).

The spelling of 11223233010000 in words is "eleven trillion, two hundred twenty-three billion, two hundred thirty-three million, ten thousand".