10222200123000 has 256 divisors, whose sum is σ = 32788453276800. Its totient is φ = 2649557606400.

The previous prime is 10222200122999. The next prime is 10222200123001. The reversal of 10222200123000 is 32100222201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222200122999) and next prime (10222200123001).

It is a super-2 number, since 2×10222200123000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222200123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110620816 + ... + 110713184.

Almost surely, 2^{10222200123000} is an apocalyptic number.

10222200123000 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 10222200123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394226638400).

10222200123000 is an abundant number, since it is smaller than the sum of its proper divisors (22566253153800).

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

10222200123000 is a wasteful number, since it uses less digits than its factorization.

10222200123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93427 (or 93413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222200123000 its reverse (32100222201), we get a palindrome (10254300345201).

The spelling of 10222200123000 in words is "ten trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-three thousand".