1306641126312 has 192 divisors, whose sum is σ = 3717356198400. Its totient is φ = 414078128640.

The previous prime is 1306641126239. The next prime is 1306641126337. The reversal of 1306641126312 is 2136211466031.

1306641126312 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 6 + 4 + 1 + 12 + 631 + 2 = 666.

It is a super-2 number, since 2×1306641126312² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307225978 + ... + 307230230.

It is an arithmetic number, because the mean of its divisors is an integer number (19361230200).

Almost surely, 2^{1306641126312} is an apocalyptic number.

1306641126312 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 1306641126312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858678099200).

1306641126312 is an abundant number, since it is smaller than the sum of its proper divisors (2410715072088).

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

1306641126312 is a wasteful number, since it uses less digits than its factorization.

1306641126312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1306641126312 in words is "one trillion, three hundred six billion, six hundred forty-one million, one hundred twenty-six thousand, three hundred twelve".