1383211210000 has 225 divisors, whose sum is σ = 3540146002371. Its totient is φ = 523317456000.

The previous prime is 1383211209997. The next prime is 1383211210013. The reversal of 1383211210000 is 121123831.

It is a happy number.

The square root of 1383211210000 is 1176100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 108443758864 + 1274767451136 = 329308^2 + 1129056^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2234589691 + ... + 2234590309.

Almost surely, 2^{1383211210000} is an apocalyptic number.

1383211210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1383211210000 is the 1176100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383211210000

1383211210000 is an abundant number, since it is smaller than the sum of its proper divisors (2156934792371).

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

1383211210000 is an frugal number, since it uses more digits than its factorization.

1383211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1383211210000 its reverse (121123831), we get a palindrome (1383332333831).

The spelling of 1383211210000 in words is "one trillion, three hundred eighty-three billion, two hundred eleven million, two hundred ten thousand".