1200133350400 has 132 divisors (see below), whose sum is σ = 2981118481920. Its totient is φ = 479046246400.

The previous prime is 1200133350349. The next prime is 1200133350413. The reversal of 1200133350400 is 40533310021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12213465 + ... + 12311335.

Almost surely, 2^{1200133350400} is an apocalyptic number.

1200133350400 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 1200133350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490559240960).

1200133350400 is an abundant number, since it is smaller than the sum of its proper divisors (1780985131520).

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

1200133350400 is an equidigital number, since it uses as much as digits as its factorization.

1200133350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98380 (or 98357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 1200133350400 its reverse (40533310021), we get a palindrome (1240666660421).

The spelling of 1200133350400 in words is "one trillion, two hundred billion, one hundred thirty-three million, three hundred fifty thousand, four hundred".