1322118386400 has 288 divisors, whose sum is σ = 4921667993088. Its totient is φ = 301990348800.

The previous prime is 1322118386399. The next prime is 1322118386411. The reversal of 1322118386400 is 46838112231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25056045 + ... + 25108755.

It is an arithmetic number, because the mean of its divisors is an integer number (17089124976).

Almost surely, 2^{1322118386400} is an apocalyptic number.

1322118386400 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 1322118386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460833996544).

1322118386400 is an abundant number, since it is smaller than the sum of its proper divisors (3599549606688).

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

1322118386400 is a wasteful number, since it uses less digits than its factorization.

1322118386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54234 (or 54221 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1322118386400 in words is "one trillion, three hundred twenty-two billion, one hundred eighteen million, three hundred eighty-six thousand, four hundred".