1337206413312 has 1440 divisors, whose sum is σ = 5196149038080. Its totient is φ = 335027404800.

The previous prime is 1337206413287. The next prime is 1337206413313. The reversal of 1337206413312 is 2133146027331.

1337206413312 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 2 + 0 + 641 + 3 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337206413313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4355721063 + ... + 4355721369.

It is an arithmetic number, because the mean of its divisors is an integer number (3608436832).

Almost surely, 2^{1337206413312} is an apocalyptic number.

1337206413312 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 1337206413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598074519040).

1337206413312 is an abundant number, since it is smaller than the sum of its proper divisors (3858942624768).

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

1337206413312 is a wasteful number, since it uses less digits than its factorization.

1337206413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 1337206413312 in words is "one trillion, three hundred thirty-seven billion, two hundred six million, four hundred thirteen thousand, three hundred twelve".