1200491712 has 224 divisors, whose sum is σ = 4102039040. Its totient is φ = 337167360.

The previous prime is 1200491707. The next prime is 1200491741. The reversal of 1200491712 is 2171940021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×1200491712⁴ (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737043 + ... + 738669.

Almost surely, 2^1200491712 is an apocalyptic number.

1200491712 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 1200491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051019520).

1200491712 is an abundant number, since it is smaller than the sum of its proper divisors (2901547328).

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

1200491712 is a wasteful number, since it uses less digits than its factorization.

1200491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1200491712 is about 34648.1126758731. The cubic root of 1200491712 is about 1062.8036943540.

The spelling of 1200491712 in words is "one billion, two hundred million, four hundred ninety-one thousand, seven hundred twelve".