1312124554512 has 120 divisors (see below), whose sum is σ = 3689052456960. Its totient is φ = 435361754880.

The previous prime is 1312124554471. The next prime is 1312124554513. The reversal of 1312124554512 is 2154554212131.

1312124554512 is a `hidden beast` number, since 1 + 3 + 12 + 124 + 5 + 5 + 4 + 512 = 666.

It is a super-3 number, since 3×1312124554512³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1312124554513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45345393 + ... + 45374319.

It is an arithmetic number, because the mean of its divisors is an integer number (30742103808).

Almost surely, 2^{1312124554512} is an apocalyptic number.

1312124554512 is a gapful number since it is divisible by the number (12) 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 1312124554512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844526228480).

1312124554512 is an abundant number, since it is smaller than the sum of its proper divisors (2376927902448).

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

1312124554512 is a wasteful number, since it uses less digits than its factorization.

1312124554512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30372 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 1312124554512 its reverse (2154554212131), we get a palindrome (3466678766643).

The spelling of 1312124554512 in words is "one trillion, three hundred twelve billion, one hundred twenty-four million, five hundred fifty-four thousand, five hundred twelve".