10222120221200 has 120 divisors (see below), whose sum is σ = 25278663585792. Its totient is φ = 3970339752960.

The previous prime is 10222120221199. The next prime is 10222120221217. The reversal of 10222120221200 is 212202122201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246932 + ... + 4528268.

Almost surely, 2^{10222120221200} is an apocalyptic number.

10222120221200 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 10222120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639331792896).

10222120221200 is an abundant number, since it is smaller than the sum of its proper divisors (15056543364592).

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

10222120221200 is a wasteful number, since it uses less digits than its factorization.

10222120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281529 (or 4281518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222120221200 its reverse (212202122201), we get a palindrome (10434322343401).

The spelling of 10222120221200 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".