322287540120 has 1280 divisors, whose sum is σ = 1376969932800. Its totient is φ = 65811087360.

The previous prime is 322287540119. The next prime is 322287540143. The reversal of 322287540120 is 21045782223.

322287540120 is a `hidden beast` number, since 3 + 2 + 22 + 87 + 540 + 12 + 0 = 666.

It is a super-2 number, since 2×322287540120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 1687369225 + ... + 1687369415.

It is an arithmetic number, because the mean of its divisors is an integer number (1075757760).

Almost surely, 2^322287540120 is an apocalyptic number.

322287540120 is a gapful number since it is divisible by the number (30) 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 322287540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688484966400).

322287540120 is an abundant number, since it is smaller than the sum of its proper divisors (1054682392680).

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

322287540120 is a wasteful number, since it uses less digits than its factorization.

322287540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 322287540120 in words is "three hundred twenty-two billion, two hundred eighty-seven million, five hundred forty thousand, one hundred twenty".