1200132100 has 36 divisors (see below), whose sum is σ = 2610184500. Its totient is φ = 478965760.

The previous prime is 1200132097. The next prime is 1200132103. The reversal of 1200132100 is 12310021.

It is an interprime number because it is at equal distance from previous prime (1200132097) and next prime (1200132103).

It can be written as a sum of positive squares in 6 ways, for example, as 341056 + 1199791044 = 584^2 + 34638^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1200132103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31536 + ... + 58264.

It is an arithmetic number, because the mean of its divisors is an integer number (72505125).

Almost surely, 2^1200132100 is an apocalyptic number.

1200132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200132100 is an abundant number, since it is smaller than the sum of its proper divisors (1410052400).

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

1200132100 is a wasteful number, since it uses less digits than its factorization.

1200132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192 (or 27185 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1200132100 is about 34642.9227981705. The cubic root of 1200132100 is about 1062.6975614177.

Adding to 1200132100 its reverse (12310021), we get a palindrome (1212442121).

The spelling of 1200132100 in words is "one billion, two hundred million, one hundred thirty-two thousand, one hundred".