131412120000 has 420 divisors, whose sum is σ = 505437114600. Its totient is φ = 30035712000.

The previous prime is 131412119987. The next prime is 131412120029. The reversal of 131412120000 is 21214131.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 5868826 + ... + 5891174.

Almost surely, 2^131412120000 is an apocalyptic number.

131412120000 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 131412120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252718557300).

131412120000 is an abundant number, since it is smaller than the sum of its proper divisors (374024994600).

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

131412120000 is an equidigital number, since it uses as much as digits as its factorization.

131412120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22398 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131412120000 its reverse (21214131), we get a palindrome (131433334131).

The spelling of 131412120000 in words is "one hundred thirty-one billion, four hundred twelve million, one hundred twenty thousand".