1197135841600 has 84 divisors (see below), whose sum is σ = 2946608280000. Its totient is φ = 478707074560.

The previous prime is 1197135841571. The next prime is 1197135841633. The reversal of 1197135841600 is 61485317911.

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 11 ways as a sum of consecutive naturals, for example, 5165001 + ... + 5391799.

It is an arithmetic number, because the mean of its divisors is an integer number (35078670000).

Almost surely, 2^{1197135841600} is an apocalyptic number.

1197135841600 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 1197135841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473304140000).

1197135841600 is an abundant number, since it is smaller than the sum of its proper divisors (1749472438400).

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

1197135841600 is a wasteful number, since it uses less digits than its factorization.

1197135841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230120 (or 230105 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 1197135841600 in words is "one trillion, one hundred ninety-seven billion, one hundred thirty-five million, eight hundred forty-one thousand, six hundred".