1022304213200 has 120 divisors (see below), whose sum is σ = 2528100970200. Its totient is φ = 396981043200.

The previous prime is 1022304213199. The next prime is 1022304213283. The reversal of 1022304213200 is 23124032201.

It can be written as a sum of positive squares in 12 ways, for example, as 158936174224 + 863368038976 = 398668^2 + 929176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 6568280 + ... + 6722120.

It is an arithmetic number, because the mean of its divisors is an integer number (21067508085).

Almost surely, 2^{1022304213200} is an apocalyptic number.

1022304213200 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 1022304213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264050485100).

1022304213200 is an abundant number, since it is smaller than the sum of its proper divisors (1505796757000).

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

1022304213200 is a wasteful number, since it uses less digits than its factorization.

1022304213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154345 (or 154334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1022304213200 its reverse (23124032201), we get a palindrome (1045428245401).

The spelling of 1022304213200 in words is "one trillion, twenty-two billion, three hundred four million, two hundred thirteen thousand, two hundred".