1195128345600 has 1584 divisors, whose sum is σ = 5191290256000. Its totient is φ = 269324697600.

The previous prime is 1195128345581. The next prime is 1195128345601. The reversal of 1195128345600 is 65438215911.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1195128345600 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 1 + 2 + 8 + 34 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195128345601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16832793565 + ... + 16832793635.

Almost surely, 2^{1195128345600} is an apocalyptic number.

1195128345600 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 1195128345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595645128000).

1195128345600 is an abundant number, since it is smaller than the sum of its proper divisors (3996161910400).

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

1195128345600 is an frugal number, since it uses more digits than its factorization.

1195128345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1195128345600 in words is "one trillion, one hundred ninety-five billion, one hundred twenty-eight million, three hundred forty-five thousand, six hundred".