1152980529120 has 1728 divisors, whose sum is σ = 5039747294400. Its totient is φ = 247757045760.

The previous prime is 1152980529109. The next prime is 1152980529131. The reversal of 1152980529120 is 219250892511.

It is a happy number.

1152980529120 is a `hidden beast` number, since 1 + 1 + 5 + 29 + 80 + 529 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1152980529109) and next prime (1152980529131).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2265187426 + ... + 2265187934.

It is an arithmetic number, because the mean of its divisors is an integer number (2916520425).

Almost surely, 2^{1152980529120} is an apocalyptic number.

1152980529120 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 1152980529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519873647200).

1152980529120 is an abundant number, since it is smaller than the sum of its proper divisors (3886766765280).

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

1152980529120 is a wasteful number, since it uses less digits than its factorization.

1152980529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1152980529120 in words is "one trillion, one hundred fifty-two billion, nine hundred eighty million, five hundred twenty-nine thousand, one hundred twenty".