1200033122304 has 384 divisors, whose sum is σ = 3473977852800. Its totient is φ = 367130050560.

The previous prime is 1200033122261. The next prime is 1200033122401. The reversal of 1200033122304 is 4032213300021.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751428834 + ... + 751430430.

It is an arithmetic number, because the mean of its divisors is an integer number (9046817325).

Almost surely, 2^{1200033122304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200033122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736988926400).

1200033122304 is an abundant number, since it is smaller than the sum of its proper divisors (2273944730496).

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

1200033122304 is a wasteful number, since it uses less digits than its factorization.

1200033122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1200033122304 its reverse (4032213300021), we get a palindrome (5232246422325).

The spelling of 1200033122304 in words is "one trillion, two hundred billion, thirty-three million, one hundred twenty-two thousand, three hundred four".