1314112214000 has 80 divisors (see below), whose sum is σ = 3185108952480. Its totient is φ = 524390028800.

The previous prime is 1314112213903. The next prime is 1314112214021. The reversal of 1314112214000 is 4122114131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53924 + ... + 1622076.

It is an arithmetic number, because the mean of its divisors is an integer number (39813861906).

Almost surely, 2^{1314112214000} is an apocalyptic number.

1314112214000 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 1314112214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592554476240).

1314112214000 is an abundant number, since it is smaller than the sum of its proper divisors (1870996738480).

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

1314112214000 is a wasteful number, since it uses less digits than its factorization.

1314112214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568595 (or 1568579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1314112214000 its reverse (4122114131), we get a palindrome (1318234328131).

The spelling of 1314112214000 in words is "one trillion, three hundred fourteen billion, one hundred twelve million, two hundred fourteen thousand".