10712250000 has 525 divisors, whose sum is σ = 40513211893. Its totient is φ = 2732400000.

The previous prime is 10712249971. The next prime is 10712250019. The reversal of 10712250000 is 5221701.

The square root of 10712250000 is 103500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 9384959376 + 1327290624 = 96876^2 + 36432^2 .

It is a super-2 number, since 2×10712250000² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 465749989 + ... + 465750011.

Almost surely, 2^10712250000 is an apocalyptic number.

10712250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10712250000 is the 103500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712250000

10712250000 is an abundant number, since it is smaller than the sum of its proper divisors (29800961893).

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

10712250000 is an frugal number, since it uses more digits than its factorization.

10712250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 10712250000 its reverse (5221701), we get a palindrome (10717471701).

The spelling of 10712250000 in words is "ten billion, seven hundred twelve million, two hundred fifty thousand".