12001233310000 has 200 divisors, whose sum is σ = 31910436954000. Its totient is φ = 4334789760000.

The previous prime is 12001233309983. The next prime is 12001233310039. The reversal of 12001233310000 is 1333210021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×12001233310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16023886 + ... + 16756114.

It is an arithmetic number, because the mean of its divisors is an integer number (159552184770).

Almost surely, 2^{12001233310000} is an apocalyptic number.

12001233310000 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 12001233310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955218477000).

12001233310000 is an abundant number, since it is smaller than the sum of its proper divisors (19909203644000).

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

12001233310000 is a wasteful number, since it uses less digits than its factorization.

12001233310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732417 (or 732396 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12001233310000 its reverse (1333210021), we get a palindrome (12002566520021).

The spelling of 12001233310000 in words is "twelve trillion, one billion, two hundred thirty-three million, three hundred ten thousand".