1233133122320 has 80 divisors (see below), whose sum is σ = 3292288476480. Its totient is φ = 424811404800.

The previous prime is 1233133122293. The next prime is 1233133122343. The reversal of 1233133122320 is 232213313321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1233133122320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36859271 + ... + 36892710.

It is an arithmetic number, because the mean of its divisors is an integer number (41153605956).

Almost surely, 2^{1233133122320} is an apocalyptic number.

1233133122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233133122320 is an abundant number, since it is smaller than the sum of its proper divisors (2059155354160).

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

1233133122320 is a wasteful number, since it uses less digits than its factorization.

1233133122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73752024 (or 73752018 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1233133122320 its reverse (232213313321), we get a palindrome (1465346435641).

The spelling of 1233133122320 in words is "one trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty".