12002022312000 has 224 divisors, whose sum is σ = 45292203690240. Its totient is φ = 2743319347200.

The previous prime is 12002022311933. The next prime is 12002022312013. The reversal of 12002022312000 is 21322020021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×12002022312000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 35552305 + ... + 35888304.

Almost surely, 2^{12002022312000} is an apocalyptic number.

12002022312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022312000 is an abundant number, since it is smaller than the sum of its proper divisors (33290181378240).

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

12002022312000 is an equidigital number, since it uses as much as digits as its factorization.

12002022312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71440646 (or 71440626 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12002022312000 its reverse (21322020021), we get a palindrome (12023344332021).

The spelling of 12002022312000 in words is "twelve trillion, two billion, twenty-two million, three hundred twelve thousand".