1200084000 has 192 divisors, whose sum is σ = 3975858432. Its totient is φ = 316416000.

The previous prime is 1200083971. The next prime is 1200084007. The reversal of 1200084000 is 4800021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1200084007) 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 31 ways as a sum of consecutive naturals, for example, 1163485 + ... + 1164515.

It is an arithmetic number, because the mean of its divisors is an integer number (20707596).

Almost surely, 2^1200084000 is an apocalyptic number.

1200084000 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 1200084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987929216).

1200084000 is an abundant number, since it is smaller than the sum of its proper divisors (2775774432).

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

1200084000 is a wasteful number, since it uses less digits than its factorization.

1200084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1200084000 is about 34642.2285657260. The cubic root of 1200084000 is about 1062.6833639707.

Adding to 1200084000 its reverse (4800021), we get a palindrome (1204884021).

The spelling of 1200084000 in words is "one billion, two hundred million, eighty-four thousand".