214414121103012 has 168 divisors, whose sum is σ = 567935098610880. Its totient is φ = 70791462095040.

The previous prime is 214414121102963. The next prime is 214414121103019. The reversal of 214414121103012 is 210301121414412.

214414121103012 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 141 + 211 + 0 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214414121103019) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 941657937 + ... + 941885607.

It is an arithmetic number, because the mean of its divisors is an integer number (3380566063160).

Almost surely, 2^{214414121103012} 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 214414121103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283967549305440).

214414121103012 is an abundant number, since it is smaller than the sum of its proper divisors (353520977507868).

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

214414121103012 is a wasteful number, since it uses less digits than its factorization.

214414121103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230765 (or 230748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 214414121103012 its reverse (210301121414412), we get a palindrome (424715242517424).

The spelling of 214414121103012 in words is "two hundred fourteen trillion, four hundred fourteen billion, one hundred twenty-one million, one hundred three thousand, twelve".