1212332133000 has 128 divisors (see below), whose sum is σ = 3788364827520. Its totient is φ = 322785273600.

The previous prime is 1212332132923. The next prime is 1212332133013. The reversal of 1212332133000 is 3312332121.

It is an unprimeable number.

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, 1614762 + ... + 2243238.

It is an arithmetic number, because the mean of its divisors is an integer number (29596600215).

Almost surely, 2^{1212332133000} is an apocalyptic number.

1212332133000 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 1212332133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894182413760).

1212332133000 is an abundant number, since it is smaller than the sum of its proper divisors (2576032694520).

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

1212332133000 is a wasteful number, since it uses less digits than its factorization.

1212332133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629144 (or 629130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1212332133000 its reverse (3312332121), we get a palindrome (1215644465121).

The spelling of 1212332133000 in words is "one trillion, two hundred twelve billion, three hundred thirty-two million, one hundred thirty-three thousand".