1200641105664 has 1728 divisors, whose sum is σ = 4983216795648. Its totient is φ = 267544166400.

The previous prime is 1200641105663. The next prime is 1200641105683. The reversal of 1200641105664 is 4665011460021.

1200641105664 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 641 + 1 + 0 + 5 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1200641105664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200641105663) 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 191 ways as a sum of consecutive naturals, for example, 4430409849 + ... + 4430410119.

It is an arithmetic number, because the mean of its divisors is an integer number (2883806016).

Almost surely, 2^{1200641105664} is an apocalyptic number.

1200641105664 is a gapful number since it is divisible by the number (14) 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 1200641105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491608397824).

1200641105664 is an abundant number, since it is smaller than the sum of its proper divisors (3782575689984).

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

1200641105664 is a wasteful number, since it uses less digits than its factorization.

1200641105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1200641105664 its reverse (4665011460021), we get a palindrome (5865652565685).

The spelling of 1200641105664 in words is "one trillion, two hundred billion, six hundred forty-one million, one hundred five thousand, six hundred sixty-four".