1200223122000 has 640 divisors, whose sum is σ = 4857529098240. Its totient is φ = 248594227200.

The previous prime is 1200223121971. The next prime is 1200223122001. The reversal of 1200223122000 is 2213220021.

It is a happy number.

It is a super-3 number, since 3×1200223122000³ (a number of 37 digits) contains 333 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 (1200223122001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18321304 + ... + 18386696.

It is an arithmetic number, because the mean of its divisors is an integer number (7589889216).

Almost surely, 2^{1200223122000} is an apocalyptic number.

1200223122000 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 1200223122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428764549120).

1200223122000 is an abundant number, since it is smaller than the sum of its proper divisors (3657305976240).

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

1200223122000 is a wasteful number, since it uses less digits than its factorization.

1200223122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65468 (or 65452 counting only the distinct ones).

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

Adding to 1200223122000 its reverse (2213220021), we get a palindrome (1202436342021).

The spelling of 1200223122000 in words is "one trillion, two hundred billion, two hundred twenty-three million, one hundred twenty-two thousand".