241412122014100 has 36 divisors (see below), whose sum is σ = 523874918101500. Its totient is φ = 96562892431360.

The previous prime is 241412122014083. The next prime is 241412122014139. The reversal of 241412122014100 is 1410221214142.

It can be written as a sum of positive squares in 6 ways, for example, as 7540065662724 + 233872056351376 = 2745918^2 + 15292876^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19489075 + ... + 29370874.

It is an arithmetic number, because the mean of its divisors is an integer number (14552081058375).

Almost surely, 2^{241412122014100} is an apocalyptic number.

241412122014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241412122014100 is an abundant number, since it is smaller than the sum of its proper divisors (282462796087400).

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

241412122014100 is a wasteful number, since it uses less digits than its factorization.

241412122014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48909372 (or 48909365 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 241412122014100 its reverse (1410221214142), we get a palindrome (242822343228242).

The spelling of 241412122014100 in words is "two hundred forty-one trillion, four hundred twelve billion, one hundred twenty-two million, fourteen thousand, one hundred".