1321488193600 has 189 divisors, whose sum is σ = 3371082167271. Its totient is φ = 509852851200.

The previous prime is 1321488193579. The next prime is 1321488193601. The reversal of 1321488193600 is 63918841231.

The square root of 1321488193600 is 1149560.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18164570176 + 1303323623424 = 134776^2 + 1141632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321488193601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1333489105 + ... + 1333490095.

Almost surely, 2^{1321488193600} is an apocalyptic number.

1321488193600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321488193600 is the 1149560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321488193600

1321488193600 is an abundant number, since it is smaller than the sum of its proper divisors (2049593973671).

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

1321488193600 is an frugal number, since it uses more digits than its factorization.

1321488193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 1321488193600 in words is "one trillion, three hundred twenty-one billion, four hundred eighty-eight million, one hundred ninety-three thousand, six hundred".