1362117405312 has 96 divisors (see below), whose sum is σ = 3924365620500. Its totient is φ = 453491122176.

The previous prime is 1362117405289. The next prime is 1362117405331. The reversal of 1362117405312 is 2135047112631.

1362117405312 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 117 + 4 + 0 + 531 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1327601710656 + 34515694656 = 1152216^2 + 185784^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 241864 + ... + 1668152.

Almost surely, 2^{1362117405312} is an apocalyptic number.

1362117405312 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 1362117405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962182810250).

1362117405312 is an abundant number, since it is smaller than the sum of its proper divisors (2562248215188).

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

1362117405312 is a wasteful number, since it uses less digits than its factorization.

1362117405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427138 (or 1427123 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1362117405312 in words is "one trillion, three hundred sixty-two billion, one hundred seventeen million, four hundred five thousand, three hundred twelve".