1047072322000 has 80 divisors (see below), whose sum is σ = 2533746758400. Its totient is φ = 418510339200.

The previous prime is 1047072321979. The next prime is 1047072322057. The reversal of 1047072322000 is 2232707401.

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 1047072322000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439541 + ... + 2836459.

It is an arithmetic number, because the mean of its divisors is an integer number (31671834480).

Almost surely, 2^{1047072322000} is an apocalyptic number.

1047072322000 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 1047072322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266873379200).

1047072322000 is an abundant number, since it is smaller than the sum of its proper divisors (1486674436400).

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

1047072322000 is a wasteful number, since it uses less digits than its factorization.

1047072322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398261 (or 398245 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 1047072322000 in words is "one trillion, forty-seven billion, seventy-two million, three hundred twenty-two thousand".