1201284000 has 576 divisors, whose sum is σ = 5108987520. Its totient is φ = 273369600.

The previous prime is 1201283999. The next prime is 1201284013. The reversal of 1201284000 is 4821021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 5291887 + ... + 5292113.

It is an arithmetic number, because the mean of its divisors is an integer number (8869770).

Almost surely, 2^1201284000 is an apocalyptic number.

1201284000 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 1201284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554493760).

1201284000 is an abundant number, since it is smaller than the sum of its proper divisors (3907703520).

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

1201284000 is a wasteful number, since it uses less digits than its factorization.

1201284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1201284000 is about 34659.5441401066. The cubic root of 1201284000 is about 1063.0374489706.

The spelling of 1201284000 in words is "one billion, two hundred one million, two hundred eighty-four thousand".