1201888985760 has 384 divisors, whose sum is σ = 4522239590400. Its totient is φ = 297173836800.

The previous prime is 1201888985753. The next prime is 1201888985771. The reversal of 1201888985760 is 675898881021.

It is a super-3 number, since 3×1201888985760³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3701985 + ... + 4013535.

It is an arithmetic number, because the mean of its divisors is an integer number (11776665600).

Almost surely, 2^{1201888985760} is an apocalyptic number.

1201888985760 is a gapful number since it is divisible by the number (10) 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 1201888985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261119795200).

1201888985760 is an abundant number, since it is smaller than the sum of its proper divisors (3320350604640).

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

1201888985760 is a wasteful number, since it uses less digits than its factorization.

1201888985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311641 (or 311627 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 1201888985760 in words is "one trillion, two hundred one billion, eight hundred eighty-eight million, nine hundred eighty-five thousand, seven hundred sixty".