1230052000 has 96 divisors (see below), whose sum is σ = 3200193360. Its totient is φ = 463052800.

The previous prime is 1230051997. The next prime is 1230052003. The reversal of 1230052000 is 2500321.

It is an interprime number because it is at equal distance from previous prime (1230051997) and next prime (1230052003).

It can be written as a sum of positive squares in 8 ways, for example, as 359329936 + 870722064 = 18956^2 + 29508^2 .

It is not an unprimeable number, because it can be changed into a prime (1230052003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58956 + ... + 77044.

Almost surely, 2^1230052000 is an apocalyptic number.

1230052000 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 1230052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600096680).

1230052000 is an abundant number, since it is smaller than the sum of its proper divisors (1970141360).

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

1230052000 is a wasteful number, since it uses less digits than its factorization.

1230052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18131 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1230052000 is about 35072.0971713982. The cubic root of 1230052000 is about 1071.4563683794.

Adding to 1230052000 its reverse (2500321), we get a palindrome (1232552321).

The spelling of 1230052000 in words is "one billion, two hundred thirty million, fifty-two thousand".