12000300312000 has 1344 divisors, whose sum is σ = 54153594593280. Its totient is φ = 2301723648000.

The previous prime is 12000300311947. The next prime is 12000300312023. The reversal of 12000300312000 is 21300300021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168132321 + ... + 168203679.

It is an arithmetic number, because the mean of its divisors is an integer number (40292853120).

Almost surely, 2^{12000300312000} is an apocalyptic number.

12000300312000 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 12000300312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076797296640).

12000300312000 is an abundant number, since it is smaller than the sum of its proper divisors (42153294281280).

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

12000300312000 is a wasteful number, since it uses less digits than its factorization.

12000300312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71427 (or 71400 counting only the distinct ones).

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

Adding to 12000300312000 its reverse (21300300021), we get a palindrome (12021600612021).

The spelling of 12000300312000 in words is "twelve trillion, three hundred million, three hundred twelve thousand".