252402101200000 has 384 divisors, whose sum is σ = 657092752122240. Its totient is φ = 96384752640000.

The previous prime is 252402101199973. The next prime is 252402101200003. The reversal of 252402101200000 is 2101204252.

It is not an unprimeable number, because it can be changed into a prime (252402101200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4811573772 + ... + 4811626228.

It is an arithmetic number, because the mean of its divisors is an integer number (1711179041985).

Almost surely, 2^{252402101200000} is an apocalyptic number.

252402101200000 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 252402101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328546376061120).

252402101200000 is an abundant number, since it is smaller than the sum of its proper divisors (404690650922240).

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

252402101200000 is an frugal number, since it uses more digits than its factorization.

252402101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53042 (or 53010 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 252402101200000 its reverse (2101204252), we get a palindrome (252404202404252).

The spelling of 252402101200000 in words is "two hundred fifty-two trillion, four hundred two billion, one hundred one million, two hundred thousand".