253121142012 has 96 divisors (see below), whose sum is σ = 628384780800. Its totient is φ = 79124348160.

The previous prime is 253121141957. The next prime is 253121142013. The reversal of 253121142012 is 210241121352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253121142013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22653187 + ... + 22664357.

It is an arithmetic number, because the mean of its divisors is an integer number (6545674800).

Almost surely, 2^253121142012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253121142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314192390400).

253121142012 is an abundant number, since it is smaller than the sum of its proper divisors (375263638788).

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

253121142012 is a wasteful number, since it uses less digits than its factorization.

253121142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 253121142012 its reverse (210241121352), we get a palindrome (463362263364).

The spelling of 253121142012 in words is "two hundred fifty-three billion, one hundred twenty-one million, one hundred forty-two thousand, twelve".