252412000144000 has 128 divisors (see below), whose sum is σ = 627569334100800. Its totient is φ = 100963191424000.

The previous prime is 252412000143991. The next prime is 252412000144019. The reversal of 252412000144000 is 441000214252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×252412000144000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941999015 + ... + 1942128985.

Almost surely, 2^{252412000144000} is an apocalyptic number.

252412000144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252412000144000 is an abundant number, since it is smaller than the sum of its proper divisors (375157333956800).

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

252412000144000 is a wasteful number, since it uses less digits than its factorization.

252412000144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251379 (or 251357 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 252412000144000 its reverse (441000214252), we get a palindrome (252853000358252).

The spelling of 252412000144000 in words is "two hundred fifty-two trillion, four hundred twelve billion, one hundred forty-four thousand".