1200772760832 has 180 divisors, whose sum is σ = 3593246486676. Its totient is φ = 398831247360.

The previous prime is 1200772760779. The next prime is 1200772760833. The reversal of 1200772760832 is 2380672770021.

1200772760832 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 7 + 2 + 7 + 608 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529657906176 + 671114854656 = 727776^2 + 819216^2 .

It is a super-2 number, since 2×1200772760832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200772760833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5723778 + ... + 5929854.

Almost surely, 2^{1200772760832} is an apocalyptic number.

1200772760832 is a gapful number since it is divisible by the number (12) 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 1200772760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796623243338).

1200772760832 is an abundant number, since it is smaller than the sum of its proper divisors (2392473725844).

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

1200772760832 is an equidigital number, since it uses as much as digits as its factorization.

1200772760832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206386 (or 206363 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1200772760832 in words is "one trillion, two hundred billion, seven hundred seventy-two million, seven hundred sixty thousand, eight hundred thirty-two".