1209966319728 has 240 divisors, whose sum is σ = 3438932783104. Its totient is φ = 397111610880.

The previous prime is 1209966319699. The next prime is 1209966319763. The reversal of 1209966319728 is 8279136699021.

1209966319728 is a `hidden beast` number, since 1 + 209 + 96 + 6 + 319 + 7 + 28 = 666.

It is a super-2 number, since 2×1209966319728² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418482950 + ... + 1418483802.

Almost surely, 2^{1209966319728} is an apocalyptic number.

1209966319728 is a gapful number since it is divisible by the number (18) 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 1209966319728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719466391552).

1209966319728 is an abundant number, since it is smaller than the sum of its proper divisors (2228966463376).

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

1209966319728 is a wasteful number, since it uses less digits than its factorization.

1209966319728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1209966319728 in words is "one trillion, two hundred nine billion, nine hundred sixty-six million, three hundred nineteen thousand, seven hundred twenty-eight".