1172145312 has 144 divisors (see below), whose sum is σ = 3604222440. Its totient is φ = 359202816.

The previous prime is 1172145281. The next prime is 1172145313. The reversal of 1172145312 is 2135412711.

1172145312 is a `hidden beast` number, since 117 + 2 + 14 + 531 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 309900816 + 862244496 = 17604^2 + 29364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172145313) 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 23 ways as a sum of consecutive naturals, for example, 1261264 + ... + 1262192.

Almost surely, 2^1172145312 is an apocalyptic number.

1172145312 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 1172145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802111220).

1172145312 is an abundant number, since it is smaller than the sum of its proper divisors (2432077128).

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

1172145312 is a wasteful number, since it uses less digits than its factorization.

1172145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1172145312 is about 34236.6077758881. The cubic root of 1172145312 is about 1054.3718884958.

The spelling of 1172145312 in words is "one billion, one hundred seventy-two million, one hundred forty-five thousand, three hundred twelve".