10120852000 has 144 divisors (see below), whose sum is σ = 28927401048. Its totient is φ = 3469939200.

The previous prime is 10120851991. The next prime is 10120852003. The reversal of 10120852000 is 25802101.

It can be written as a sum of positive squares in 4 ways, for example, as 2157788304 + 7963063696 = 46452^2 + 89236^2 .

It is not an unprimeable number, because it can be changed into a prime (10120852003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170182 + ... + 221818.

Almost surely, 2^10120852000 is an apocalyptic number.

10120852000 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 10120852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463700524).

10120852000 is an abundant number, since it is smaller than the sum of its proper divisors (18806549048).

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

10120852000 is an equidigital number, since it uses as much as digits as its factorization.

10120852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51676 (or 51651 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The spelling of 10120852000 in words is "ten billion, one hundred twenty million, eight hundred fifty-two thousand".