1195868141600 has 288 divisors, whose sum is σ = 3374544390336. Its totient is φ = 408991334400.

The previous prime is 1195868141597. The next prime is 1195868141603. The reversal of 1195868141600 is 61418685911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1195868141597) and next prime (1195868141603).

It is a super-2 number, since 2×1195868141600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (1195868141603) 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 47 ways as a sum of consecutive naturals, for example, 404965724 + ... + 404968676.

It is an arithmetic number, because the mean of its divisors is an integer number (11717168022).

Almost surely, 2^{1195868141600} is an apocalyptic number.

1195868141600 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 1195868141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687272195168).

1195868141600 is an abundant number, since it is smaller than the sum of its proper divisors (2178676248736).

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

1195868141600 is a wasteful number, since it uses less digits than its factorization.

1195868141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 50.

The spelling of 1195868141600 in words is "one trillion, one hundred ninety-five billion, eight hundred sixty-eight million, one hundred forty-one thousand, six hundred".