312001140400000 has 192 divisors, whose sum is σ = 781397200503360. Its totient is φ = 124079038720000.

The previous prime is 312001140399941. The next prime is 312001140400009. The reversal of 312001140400000 is 4041100213.

It is a super-2 number, since 2×312001140400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001140400009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66945657 + ... + 71454343.

It is an arithmetic number, because the mean of its divisors is an integer number (4069777085955).

Almost surely, 2^{312001140400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001140400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390698600251680).

312001140400000 is an abundant number, since it is smaller than the sum of its proper divisors (469396060103360).

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

312001140400000 is an frugal number, since it uses more digits than its factorization.

312001140400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508899 (or 4508867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 312001140400000 its reverse (4041100213), we get a palindrome (312005181500213).

The spelling of 312001140400000 in words is "three hundred twelve trillion, one billion, one hundred forty million, four hundred thousand".