1002233212200 has 384 divisors, whose sum is σ = 3784936320000. Its totient is φ = 241741843200.

The previous prime is 1002233212177. The next prime is 1002233212237. The reversal of 1002233212200 is 22123322001.

1002233212200 is a `hidden beast` number, since 100 + 2 + 23 + 321 + 220 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 11778207 + ... + 11862993.

It is an arithmetic number, because the mean of its divisors is an integer number (9856605000).

Almost surely, 2^{1002233212200} is an apocalyptic number.

1002233212200 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 1002233212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892468160000).

1002233212200 is an abundant number, since it is smaller than the sum of its proper divisors (2782703107800).

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

1002233212200 is a wasteful number, since it uses less digits than its factorization.

1002233212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85022 (or 85007 counting only the distinct ones).

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

Adding to 1002233212200 its reverse (22123322001), we get a palindrome (1024356534201).

The spelling of 1002233212200 in words is "one trillion, two billion, two hundred thirty-three million, two hundred twelve thousand, two hundred".