215241142512 has 160 divisors (see below), whose sum is σ = 650070535680. Its totient is φ = 60702428160.

The previous prime is 215241142511. The next prime is 215241142517.

215241142512 is nontrivially palindromic in base 10.

215241142512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215241142512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215241142511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 209814 + ... + 688842.

It is an arithmetic number, because the mean of its divisors is an integer number (4062940848).

Almost surely, 2^215241142512 is an apocalyptic number.

215241142512 is a gapful number since it is divisible by the number (22) 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 215241142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325035267840).

215241142512 is an abundant number, since it is smaller than the sum of its proper divisors (434829393168).

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

215241142512 is a wasteful number, since it uses less digits than its factorization.

215241142512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479111 (or 479105 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 215241 and 142512, that added together give a palindrome (357753).

The spelling of 215241142512 in words is "two hundred fifteen billion, two hundred forty-one million, one hundred forty-two thousand, five hundred twelve".