1320252000 has 192 divisors, whose sum is σ = 4351838400. Its totient is φ = 349900800.

The previous prime is 1320251987. The next prime is 1320252007. The reversal of 1320252000 is 2520231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320252007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3227796 + ... + 3228204.

It is an arithmetic number, because the mean of its divisors is an integer number (22665825).

Almost surely, 2^1320252000 is an apocalyptic number.

1320252000 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 1320252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175919200).

1320252000 is an abundant number, since it is smaller than the sum of its proper divisors (3031586400).

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

1320252000 is a wasteful number, since it uses less digits than its factorization.

1320252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1320252000 is about 36335.2721195260. The cubic root of 1320252000 is about 1097.0311126736.

Adding to 1320252000 its reverse (2520231), we get a palindrome (1322772231).

The spelling of 1320252000 in words is "one billion, three hundred twenty million, two hundred fifty-two thousand".