1152050240000 has 400 divisors, whose sum is σ = 3148936892640. Its totient is φ = 417454080000.

The previous prime is 1152050239979. The next prime is 1152050240017. The reversal of 1152050240000 is 420502511.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1791679679 + ... + 1791680321.

Almost surely, 2^{1152050240000} is an apocalyptic number.

1152050240000 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 1152050240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574468446320).

1152050240000 is an abundant number, since it is smaller than the sum of its proper divisors (1996886652640).

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

1152050240000 is an frugal number, since it uses more digits than its factorization.

1152050240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 1152050240000 its reverse (420502511), we get a palindrome (1152470742511).

The spelling of 1152050240000 in words is "one trillion, one hundred fifty-two billion, fifty million, two hundred forty thousand".