1351114120000 has 140 divisors (see below), whose sum is σ = 3372824178900. Its totient is φ = 536816128000.

The previous prime is 1351114119997. The next prime is 1351114120021. The reversal of 1351114120000 is 214111531.

It can be written as a sum of positive squares in 10 ways, for example, as 852135764544 + 498978355456 = 923112^2 + 706384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1351114120000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5846652 + ... + 6073348.

Almost surely, 2^{1351114120000} is an apocalyptic number.

1351114120000 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 1351114120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686412089450).

1351114120000 is an abundant number, since it is smaller than the sum of its proper divisors (2021710058900).

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

1351114120000 is an equidigital number, since it uses as much as digits as its factorization.

1351114120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226878 (or 226853 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 1351114120000 its reverse (214111531), we get a palindrome (1351328231531).

The spelling of 1351114120000 in words is "one trillion, three hundred fifty-one billion, one hundred fourteen million, one hundred twenty thousand".