1022535113200 has 120 divisors (see below), whose sum is σ = 2567253194208. Its totient is φ = 390650557440.

The previous prime is 1022535113183. The next prime is 1022535113207. The reversal of 1022535113200 is 23115352201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022535113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6146314 + ... + 6310486.

Almost surely, 2^{1022535113200} is an apocalyptic number.

1022535113200 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 1022535113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283626597104).

1022535113200 is an abundant number, since it is smaller than the sum of its proper divisors (1544718081008).

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

1022535113200 is a wasteful number, since it uses less digits than its factorization.

1022535113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164891 (or 164880 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 1022535113200 in words is "one trillion, twenty-two billion, five hundred thirty-five million, one hundred thirteen thousand, two hundred".