1151125210512 has 320 divisors, whose sum is σ = 3469759230720. Its totient is φ = 369599500800.

The previous prime is 1151125210489. The next prime is 1151125210513. The reversal of 1151125210512 is 2150125211511.

1151125210512 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 125 + 21 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1151125210513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130760703 + ... + 130769505.

It is an arithmetic number, because the mean of its divisors is an integer number (10842997596).

Almost surely, 2^{1151125210512} is an apocalyptic number.

1151125210512 is a gapful number since it is divisible by the number (12) 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 1151125210512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734879615360).

1151125210512 is an abundant number, since it is smaller than the sum of its proper divisors (2318634020208).

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

1151125210512 is an equidigital number, since it uses as much as digits as its factorization.

1151125210512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Subtracting 1151125210512 from its reverse (2150125211511), we obtain a palindrome (999000000999).

The spelling of 1151125210512 in words is "one trillion, one hundred fifty-one billion, one hundred twenty-five million, two hundred ten thousand, five hundred twelve".