252130552212000 has 1152 divisors, whose sum is σ = 1040687372874240. Its totient is φ = 52234592256000.

The previous prime is 252130552211869. The next prime is 252130552212017. The reversal of 252130552212000 is 212255031252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3425231196 + ... + 3425304804.

It is an arithmetic number, because the mean of its divisors is an integer number (903374455620).

Almost surely, 2^{252130552212000} is an apocalyptic number.

252130552212000 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 252130552212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520343686437120).

252130552212000 is an abundant number, since it is smaller than the sum of its proper divisors (788556820662240).

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

252130552212000 is a wasteful number, since it uses less digits than its factorization.

252130552212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74003 (or 73974 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 252130552212000 in words is "two hundred fifty-two trillion, one hundred thirty billion, five hundred fifty-two million, two hundred twelve thousand".