12003010100000 has 144 divisors (see below), whose sum is σ = 30555283789800. Its totient is φ = 4635644160000.

The previous prime is 12003010099979. The next prime is 12003010100021. The reversal of 12003010100000 is 101030021.

12003010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12003010099979) and next prime (12003010100021).

It can be written as a sum of positive squares in 12 ways, for example, as 6351226586896 + 5651783513104 = 2520164^2 + 2377348^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830516 + ... + 4969484.

Almost surely, 2^{12003010100000} is an apocalyptic number.

12003010100000 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 12003010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277641894900).

12003010100000 is an abundant number, since it is smaller than the sum of its proper divisors (18552273689800).

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

12003010100000 is an frugal number, since it uses more digits than its factorization.

12003010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139033 (or 4139005 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12003010100000 its reverse (101030021), we get a palindrome (12003111130021).

The spelling of 12003010100000 in words is "twelve trillion, three billion, ten million, one hundred thousand".