1022342405200 has 120 divisors (see below), whose sum is σ = 2474087826816. Its totient is φ = 405965952000.

The previous prime is 1022342405191. The next prime is 1022342405257. The reversal of 1022342405200 is 25042432201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30443619 + ... + 30477181.

Almost surely, 2^{1022342405200} is an apocalyptic number.

1022342405200 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 1022342405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237043913408).

1022342405200 is an abundant number, since it is smaller than the sum of its proper divisors (1451745421616).

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

1022342405200 is a wasteful number, since it uses less digits than its factorization.

1022342405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34133 (or 34122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1022342405200 its reverse (25042432201), we get a palindrome (1047384837401).

The spelling of 1022342405200 in words is "one trillion, twenty-two billion, three hundred forty-two million, four hundred five thousand, two hundred".