12451145000 has 120 divisors (see below), whose sum is σ = 33936644610. Its totient is φ = 4268880000.

The previous prime is 12451144997. The next prime is 12451145023. The reversal of 12451145000 is 54115421.

It can be written as a sum of positive squares in 5 ways, for example, as 2253780676 + 10197364324 = 47474^2 + 100982^2 .

It is a super-2 number, since 2×12451145000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 219590 + ... + 270410.

Almost surely, 2^12451145000 is an apocalyptic number.

12451145000 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 12451145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968322305).

12451145000 is an abundant number, since it is smaller than the sum of its proper divisors (21485499610).

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

12451145000 is an equidigital number, since it uses as much as digits as its factorization.

12451145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50861 (or 50835 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 12451145000 in words is "twelve billion, four hundred fifty-one million, one hundred forty-five thousand".