252123012 has 36 divisors (see below), whose sum is σ = 639999360. Its totient is φ = 83686512.

The previous prime is 252122977. The next prime is 252123019. The reversal of 252123012 is 210321252.

252123012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (252123019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6048 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (17777760).

Almost surely, 2^252123012 is an apocalyptic number.

It is an amenable number.

252123012 is an abundant number, since it is smaller than the sum of its proper divisors (387876348).

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

252123012 is a wasteful number, since it uses less digits than its factorization.

252123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29552 (or 29547 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252123012 is about 15878.3819074867. The cubic root of 252123012 is about 631.7387192410.

Adding to 252123012 its reverse (210321252), we get a palindrome (462444264).

It can be divided in two parts, 25212 and 3012, that added together give a square (28224 = 168²).

The spelling of 252123012 in words is "two hundred fifty-two million, one hundred twenty-three thousand, twelve".