1200009600 has 768 divisors, whose sum is σ = 5008608000. Its totient is φ = 278691840.

The previous prime is 1200009571. The next prime is 1200009653. The reversal of 1200009600 is 69000021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27907179 + ... + 27907221.

It is an arithmetic number, because the mean of its divisors is an integer number (6521625).

Almost surely, 2^1200009600 is an apocalyptic number.

1200009600 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 1200009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504304000).

1200009600 is an abundant number, since it is smaller than the sum of its proper divisors (3808598400).

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

1200009600 is a wasteful number, since it uses less digits than its factorization.

1200009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1200009600 is about 34641.1547151650. The cubic root of 1200009600 is about 1062.6614029312.

Adding to 1200009600 its reverse (69000021), we get a palindrome (1269009621).

It can be divided in two parts, 120000 and 9600, that added together give a square (129600 = 360²).

The spelling of 1200009600 in words is "one billion, two hundred million, nine thousand, six hundred".