12030312000 has 448 divisors, whose sum is σ = 45913121280. Its totient is φ = 2718720000.

The previous prime is 12030311983. The next prime is 12030312017. The reversal of 12030312000 is 21303021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12030311983) and next prime (12030312017).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16967646 + ... + 16968354.

Almost surely, 2^12030312000 is an apocalyptic number.

12030312000 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 12030312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956560640).

12030312000 is an abundant number, since it is smaller than the sum of its proper divisors (33882809280).

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

12030312000 is a wasteful number, since it uses less digits than its factorization.

12030312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12030312000 its reverse (21303021), we get a palindrome (12051615021).

The spelling of 12030312000 in words is "twelve billion, thirty million, three hundred twelve thousand".