11022230010000 has 300 divisors, whose sum is σ = 39109957819856. Its totient is φ = 2672054880000.

The previous prime is 11022230009983. The next prime is 11022230010017. The reversal of 11022230010000 is 1003222011.

It is an interprime number because it is at equal distance from previous prime (11022230009983) and next prime (11022230010017).

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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2111787 + ... + 5148213.

Almost surely, 2^{11022230010000} is an apocalyptic number.

11022230010000 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 11022230010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554978909928).

11022230010000 is an abundant number, since it is smaller than the sum of its proper divisors (28087727809856).

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

11022230010000 is a wasteful number, since it uses less digits than its factorization.

11022230010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036480 (or 3036448 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11022230010000 its reverse (1003222011), we get a palindrome (11023233232011).

The spelling of 11022230010000 in words is "eleven trillion, twenty-two billion, two hundred thirty million, ten thousand".