1022123320200 has 144 divisors (see below), whose sum is σ = 3525404852580. Its totient is φ = 265199546880.

The previous prime is 1022123320193. The next prime is 1022123320241. The reversal of 1022123320200 is 20233212201.

1022123320200 is a `hidden beast` number, since 1 + 0 + 22 + 123 + 320 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 589298804964 + 432824515236 = 767658^2 + 657894^2 .

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, 7606999 + ... + 7740198.

Almost surely, 2^{1022123320200} is an apocalyptic number.

1022123320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022123320200 is an abundant number, since it is smaller than the sum of its proper divisors (2503281532380).

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

1022123320200 is a wasteful number, since it uses less digits than its factorization.

1022123320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347256 (or 15347244 counting only the distinct ones).

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

Adding to 1022123320200 its reverse (20233212201), we get a palindrome (1042356532401).

The spelling of 1022123320200 in words is "one trillion, twenty-two billion, one hundred twenty-three million, three hundred twenty thousand, two hundred".