1314225220000 has 480 divisors, whose sum is σ = 4040282695680. Its totient is φ = 408685440000.

The previous prime is 1314225219971. The next prime is 1314225220039. The reversal of 1314225220000 is 225224131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 996379341 + ... + 996380659.

It is an arithmetic number, because the mean of its divisors is an integer number (8417255616).

Almost surely, 2^{1314225220000} is an apocalyptic number.

1314225220000 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 1314225220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020141347840).

1314225220000 is an abundant number, since it is smaller than the sum of its proper divisors (2726057475680).

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

1314225220000 is a wasteful number, since it uses less digits than its factorization.

1314225220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 1314225220000 in words is "one trillion, three hundred fourteen billion, two hundred twenty-five million, two hundred twenty thousand".