999301201920000 has 3240 divisors, whose sum is σ = 4247814454884000. Its totient is φ = 225628913664000.

The previous prime is 999301201919983. The next prime is 999301201920019. The reversal of 999301201920000 is 29102103999.

It is a super-2 number, since 2×999301201920000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 5021614079901 + ... + 5021614080099.

It is an arithmetic number, because the mean of its divisors is an integer number (1311053844100).

Almost surely, 2^{999301201920000} is an apocalyptic number.

999301201920000 is a gapful number since it is divisible by the number (90) 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 999301201920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123907227442000).

999301201920000 is an abundant number, since it is smaller than the sum of its proper divisors (3248513252964000).

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

999301201920000 is an equidigital number, since it uses as much as digits as its factorization.

999301201920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 999301201920000 in words is "nine hundred ninety-nine trillion, three hundred one billion, two hundred one million, nine hundred twenty thousand".