1201200011856 has 800 divisors, whose sum is σ = 4075926624000. Its totient is φ = 338443370496.

The previous prime is 1201200011831. The next prime is 1201200011861. The reversal of 1201200011856 is 6581100021021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1562028240 + ... + 1562029008.

It is an arithmetic number, because the mean of its divisors is an integer number (5094908280).

Almost surely, 2^{1201200011856} is an apocalyptic number.

1201200011856 is a gapful number since it is divisible by the number (16) 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 1201200011856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037963312000).

1201200011856 is an abundant number, since it is smaller than the sum of its proper divisors (2874726612144).

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

1201200011856 is a wasteful number, since it uses less digits than its factorization.

1201200011856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1201200011856 its reverse (6581100021021), we get a palindrome (7782300032877).

The spelling of 1201200011856 in words is "one trillion, two hundred one billion, two hundred million, eleven thousand, eight hundred fifty-six".