1022312212200 has 144 divisors (see below), whose sum is σ = 3517003608300. Its totient is φ = 265967385600.

The previous prime is 1022312212153. The next prime is 1022312212217. The reversal of 1022312212200 is 22122132201.

1022312212200 is a `hidden beast` number, since 1 + 0 + 223 + 1 + 221 + 220 + 0 = 666.

1022312212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 301908489444 + 720403722756 = 549462^2 + 848766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6852435 + ... + 7000034.

Almost surely, 2^{1022312212200} is an apocalyptic number.

1022312212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022312212200 is an abundant number, since it is smaller than the sum of its proper divisors (2494691396100).

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

1022312212200 is a wasteful number, since it uses less digits than its factorization.

1022312212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13852532 (or 13852520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1022312212200 its reverse (22122132201), we get a palindrome (1044434344401).

The spelling of 1022312212200 in words is "one trillion, twenty-two billion, three hundred twelve million, two hundred twelve thousand, two hundred".