10233201222000 has 480 divisors, whose sum is σ = 38639140537920. Its totient is φ = 2515355596800.

The previous prime is 10233201221983. The next prime is 10233201222007. The reversal of 10233201222000 is 22210233201.

10233201222000 is a `hidden beast` number, since 1 + 0 + 23 + 320 + 122 + 200 + 0 = 666.

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 (10233201222007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12249654 + ... + 13058346.

It is an arithmetic number, because the mean of its divisors is an integer number (80498209454).

Almost surely, 2^{10233201222000} is an apocalyptic number.

10233201222000 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 10233201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319570268960).

10233201222000 is an abundant number, since it is smaller than the sum of its proper divisors (28405939315920).

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

10233201222000 is a wasteful number, since it uses less digits than its factorization.

10233201222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808778 (or 808759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10233201222000 its reverse (22210233201), we get a palindrome (10255411455201).

The spelling of 10233201222000 in words is "ten trillion, two hundred thirty-three billion, two hundred one million, two hundred twenty-two thousand".