1312105011462 has 640 divisors, whose sum is σ = 3719692247040. Its totient is φ = 337434854400.

The previous prime is 1312105011433. The next prime is 1312105011463. The reversal of 1312105011462 is 2641105012131.

1312105011462 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 10 + 501 + 146 + 2 = 666.

It is a super-2 number, since 2×1312105011462² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312105011463) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8689437087 + ... + 8689437237.

It is an arithmetic number, because the mean of its divisors is an integer number (5812019136).

Almost surely, 2^{1312105011462} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312105011462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859846123520).

1312105011462 is an abundant number, since it is smaller than the sum of its proper divisors (2407587235578).

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

1312105011462 is a wasteful number, since it uses less digits than its factorization.

1312105011462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1312105011462 in words is "one trillion, three hundred twelve billion, one hundred five million, eleven thousand, four hundred sixty-two".