312003120000 has 640 divisors, whose sum is σ = 1216801998720. Its totient is φ = 69811200000.

The previous prime is 312003119971. The next prime is 312003120031. The reversal of 312003120000 is 21300213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 34315455 + ... + 34324545.

It is an arithmetic number, because the mean of its divisors is an integer number (1901253123).

Almost surely, 2^312003120000 is an apocalyptic number.

312003120000 is a gapful number since it is divisible by the number (30) 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 312003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608400999360).

312003120000 is an abundant number, since it is smaller than the sum of its proper divisors (904798878720).

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

312003120000 is a wasteful number, since it uses less digits than its factorization.

312003120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9125 counting only the distinct ones).

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

Adding to 312003120000 its reverse (21300213), we get a palindrome (312024420213).

It can be divided in two parts, 31200 and 3120000, that multiplied together give a square (97344000000 = 312000²).

The spelling of 312003120000 in words is "three hundred twelve billion, three million, one hundred twenty thousand".