12000107025 has 81 divisors (see below), whose sum is σ = 22021123761. Its totient is φ = 6246694080.

The previous prime is 12000107023. The next prime is 12000107047. The reversal of 12000107025 is 52070100021.

The square root of 12000107025 is 109545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43996689 + 11956110336 = 6633^2 + 109344^2 .

It is not a de Polignac number, because 12000107025 - 2¹ = 12000107023 is a prime.

It is a super-2 number, since 2×12000107025² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000106989 and 12000107007.

It is not an unprimeable number, because it can be changed into a prime (12000107023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110092671 + ... + 110092779.

Almost surely, 2^12000107025 is an apocalyptic number.

12000107025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12000107025 is the 109545-th square number.

12000107025 is the 54773-rd centered octagonal number.

It is an amenable number.

12000107025 is a deficient number, since it is larger than the sum of its proper divisors (10021016736).

12000107025 is an equidigital number, since it uses as much as digits as its factorization.

12000107025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

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

Adding to 12000107025 its reverse (52070100021), we get a palindrome (64070207046).

It can be divided in two parts, 12000 and 107025, that added together give a square (119025 = 345²).

The spelling of 12000107025 in words is "twelve billion, one hundred seven thousand, twenty-five".