1172112480 has 648 divisors, whose sum is σ = 5191896528. Its totient is φ = 235699200.

The previous prime is 1172112479. The next prime is 1172112497. The reversal of 1172112480 is 842112711.

1172112480 is a `hidden beast` number, since 1 + 1 + 72 + 112 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37810065 + ... + 37810095.

It is an arithmetic number, because the mean of its divisors is an integer number (8012186).

Almost surely, 2^1172112480 is an apocalyptic number.

1172112480 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 1172112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595948264).

1172112480 is an abundant number, since it is smaller than the sum of its proper divisors (4019784048).

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

1172112480 is a wasteful number, since it uses less digits than its factorization.

1172112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1172112480 is about 34236.1282857744. The cubic root of 1172112480 is about 1054.3620440221.

The spelling of 1172112480 in words is "one billion, one hundred seventy-two million, one hundred twelve thousand, four hundred eighty".