1312223003000 has 256 divisors, whose sum is σ = 3783827174400. Its totient is φ = 414788774400.

The previous prime is 1312223002991. The next prime is 1312223003027. The reversal of 1312223003000 is 3003222131.

It is a super-3 number, since 3×1312223003000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1312223003000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78160607 + ... + 78177393.

It is an arithmetic number, because the mean of its divisors is an integer number (14780574900).

Almost surely, 2^{1312223003000} is an apocalyptic number.

1312223003000 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 1312223003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891913587200).

1312223003000 is an abundant number, since it is smaller than the sum of its proper divisors (2471604171400).

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

1312223003000 is a wasteful number, since it uses less digits than its factorization.

1312223003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1312223003000 its reverse (3003222131), we get a palindrome (1315226225131).

The spelling of 1312223003000 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, three thousand".