1201485312 has 320 divisors, whose sum is σ = 3825201600. Its totient is φ = 376233984.

The previous prime is 1201485287. The next prime is 1201485343. The reversal of 1201485312 is 2135841021.

1201485312 is a `hidden beast` number, since 120 + 1 + 4 + 8 + 531 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32472558 + ... + 32472594.

It is an arithmetic number, because the mean of its divisors is an integer number (11953755).

Almost surely, 2^1201485312 is an apocalyptic number.

1201485312 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 1201485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912600800).

1201485312 is an abundant number, since it is smaller than the sum of its proper divisors (2623716288).

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

1201485312 is an frugal number, since it uses more digits than its factorization.

1201485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1201485312 is about 34662.4481535855. The cubic root of 1201485312 is about 1063.0968271698.

The spelling of 1201485312 in words is "one billion, two hundred one million, four hundred eighty-five thousand, three hundred twelve".