711141120000 has 1200 divisors, whose sum is σ = 2801746747800. Its totient is φ = 179656704000.

The previous prime is 711141119977. The next prime is 711141120017. The reversal of 711141120000 is 21141117.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11400 × 6840 × 9120.

It is a congruent number.

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 99 ways as a sum of consecutive naturals, for example, 37428479991 + ... + 37428480009.

Almost surely, 2^711141120000 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 711141120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400873373900).

711141120000 is an abundant number, since it is smaller than the sum of its proper divisors (2090605627800).

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

711141120000 is an frugal number, since it uses more digits than its factorization.

711141120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 711141120000 its reverse (21141117), we get a palindrome (711162261117).

The spelling of 711141120000 in words is "seven hundred eleven billion, one hundred forty-one million, one hundred twenty thousand".