1198652728900 has 243 divisors, whose sum is σ = 2949358030437. Its totient is φ = 422516793600.

The previous prime is 1198652728877. The next prime is 1198652728907. The reversal of 1198652728900 is 98272568911.

The square root of 1198652728900 is 1094830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 846756997636 + 351895731264 = 920194^2 + 593208^2 .

It is not an unprimeable number, because it can be changed into a prime (1198652728907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4455957966 + ... + 4455958234.

Almost surely, 2^{1198652728900} is an apocalyptic number.

1198652728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1198652728900 is the 1094830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198652728900

1198652728900 is an abundant number, since it is smaller than the sum of its proper divisors (1750705301537).

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

1198652728900 is a wasteful number, since it uses less digits than its factorization.

1198652728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 1198652728900 in words is "one trillion, one hundred ninety-eight billion, six hundred fifty-two million, seven hundred twenty-eight thousand, nine hundred".