1382206131200 has 132 divisors (see below), whose sum is σ = 3431825631840. Its totient is φ = 551974256640.

The previous prime is 1382206131199. The next prime is 1382206131211. The reversal of 1382206131200 is 21316022831.

It is a happy number.

It is a super-2 number, since 2×1382206131200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15648761 + ... + 15736839.

Almost surely, 2^{1382206131200} is an apocalyptic number.

1382206131200 is a gapful number since it is divisible by the number (10) 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 1382206131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715912815920).

1382206131200 is an abundant number, since it is smaller than the sum of its proper divisors (2049619500640).

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

1382206131200 is an equidigital number, since it uses as much as digits as its factorization.

1382206131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88722 (or 88699 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1382206131200 in words is "one trillion, three hundred eighty-two billion, two hundred six million, one hundred thirty-one thousand, two hundred".