1211641846800 has 960 divisors, whose sum is σ = 4903390162944. Its totient is φ = 248448614400.

The previous prime is 1211641846799. The next prime is 1211641846819. The reversal of 1211641846800 is 86481461121.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 3595376232 + ... + 3595376568.

Almost surely, 2^{1211641846800} is an apocalyptic number.

1211641846800 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 1211641846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451695081472).

1211641846800 is an abundant number, since it is smaller than the sum of its proper divisors (3691748316144).

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

1211641846800 is a wasteful number, since it uses less digits than its factorization.

1211641846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 1211641846800 in words is "one trillion, two hundred eleven billion, six hundred forty-one million, eight hundred forty-six thousand, eight hundred".