1200435045504 has 128 divisors (see below), whose sum is σ = 3202691374080. Its totient is φ = 398385546240.

The previous prime is 1200435045497. The next prime is 1200435045539. The reversal of 1200435045504 is 4055405340021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1200435045504² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273383149 + ... + 273387539.

It is an arithmetic number, because the mean of its divisors is an integer number (25021026360).

Almost surely, 2^{1200435045504} 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 1200435045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601345687040).

1200435045504 is an abundant number, since it is smaller than the sum of its proper divisors (2002256328576).

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

1200435045504 is a wasteful number, since it uses less digits than its factorization.

1200435045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 1200435045504 in words is "one trillion, two hundred billion, four hundred thirty-five million, forty-five thousand, five hundred four".