1322525498112 has 864 divisors, whose sum is σ = 5187914827200. Its totient is φ = 328261828608.

The previous prime is 1322525498089. The next prime is 1322525498137. The reversal of 1322525498112 is 2118945252231.

It is a happy number.

1322525498112 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 525 + 4 + 9 + 8 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 74841214 + ... + 74858882.

It is an arithmetic number, because the mean of its divisors is an integer number (6004531050).

Almost surely, 2^{1322525498112} is an apocalyptic number.

1322525498112 is a gapful number since it is divisible by the number (12) 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 1322525498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593957413600).

1322525498112 is an abundant number, since it is smaller than the sum of its proper divisors (3865389329088).

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

1322525498112 is a wasteful number, since it uses less digits than its factorization.

1322525498112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17738 (or 17711 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 1322525498112 in words is "one trillion, three hundred twenty-two billion, five hundred twenty-five million, four hundred ninety-eight thousand, one hundred twelve".