252120020000 has 240 divisors, whose sum is σ = 651529593792. Its totient is φ = 95821440000.

The previous prime is 252120019999. The next prime is 252120020039. The reversal of 252120020000 is 20021252.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72218255 + ... + 72221745.

Almost surely, 2^252120020000 is an apocalyptic number.

252120020000 is a gapful number since it is divisible by the number (20) 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 252120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325764796896).

252120020000 is an abundant number, since it is smaller than the sum of its proper divisors (399409573792).

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

252120020000 is a wasteful number, since it uses less digits than its factorization.

252120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 252120020000 its reverse (20021252), we get a palindrome (252140041252).

The spelling of 252120020000 in words is "two hundred fifty-two billion, one hundred twenty million, twenty thousand".