12002010012300 has 1296 divisors, whose sum is σ = 46036009006848. Its totient is φ = 2344492800000.

The previous prime is 12002010012299. The next prime is 12002010012313. The reversal of 12002010012300 is 321001020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 118831782250 + ... + 118831782350.

It is an arithmetic number, because the mean of its divisors is an integer number (35521611888).

Almost surely, 2^{12002010012300} is an apocalyptic number.

12002010012300 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 12002010012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018004503424).

12002010012300 is an abundant number, since it is smaller than the sum of its proper divisors (34033998994548).

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

12002010012300 is a wasteful number, since it uses less digits than its factorization.

12002010012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12002010012300 its reverse (321001020021), we get a palindrome (12323011032321).

The spelling of 12002010012300 in words is "twelve trillion, two billion, ten million, twelve thousand, three hundred".