1200133102300 has 144 divisors (see below), whose sum is σ = 2966697119232. Its totient is φ = 417137529600.

The previous prime is 1200133102283. The next prime is 1200133102313. The reversal of 1200133102300 is 32013310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36744577 + ... + 36777223.

It is an arithmetic number, because the mean of its divisors is an integer number (20602063328).

Almost surely, 2^{1200133102300} is an apocalyptic number.

1200133102300 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 1200133102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483348559616).

1200133102300 is an abundant number, since it is smaller than the sum of its proper divisors (1766564016932).

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

1200133102300 is a wasteful number, since it uses less digits than its factorization.

1200133102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34148 (or 34141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1200133102300 its reverse (32013310021), we get a palindrome (1232146412321).

The spelling of 1200133102300 in words is "one trillion, two hundred billion, one hundred thirty-three million, one hundred two thousand, three hundred".