712051140000 has 240 divisors, whose sum is σ = 2340960652800. Its totient is φ = 189450240000.

The previous prime is 712051139993. The next prime is 712051140007. The reversal of 712051140000 is 41150217.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (712051139993) and next prime (712051140007).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (712051140007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 26926785 + ... + 26953215.

It is an arithmetic number, because the mean of its divisors is an integer number (9754002720).

Almost surely, 2^712051140000 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 712051140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170480326400).

712051140000 is an abundant number, since it is smaller than the sum of its proper divisors (1628909512800).

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

712051140000 is a wasteful number, since it uses less digits than its factorization.

712051140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26913 (or 26890 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 712051140000 its reverse (41150217), we get a palindrome (712092290217).

The spelling of 712051140000 in words is "seven hundred twelve billion, fifty-one million, one hundred forty thousand".