1200435774736 has 135 divisors (see below), whose sum is σ = 2631378672783. Its totient is φ = 530116392960.

The previous prime is 1200435774719. The next prime is 1200435774737. The reversal of 1200435774736 is 6374775340021.

It is a happy number.

The square root of 1200435774736 is 1095644.

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 90868485136 + 1109567289600 = 301444^2 + 1053360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1200435774736.

It is not an unprimeable number, because it can be changed into a prime (1200435774737) 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, 1783708096 + ... + 1783708768.

Almost surely, 2^{1200435774736} is an apocalyptic number.

1200435774736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1200435774736 is the 1095644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200435774736

1200435774736 is an abundant number, since it is smaller than the sum of its proper divisors (1430942898047).

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

1200435774736 is an frugal number, since it uses more digits than its factorization.

1200435774736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

Multiplying 1200435774736 by its sum of digits (49), we get a square (58821352962064 = 7669508²).

The spelling of 1200435774736 in words is "one trillion, two hundred billion, four hundred thirty-five million, seven hundred seventy-four thousand, seven hundred thirty-six".