1042121215014 has 128 divisors (see below), whose sum is σ = 2421065687040. Its totient is φ = 295544179200.

The previous prime is 1042121215013. The next prime is 1042121215021. The reversal of 1042121215014 is 4105121212401.

1042121215014 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

1042121215014 is strictly pandigital in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042121215013) 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 63 ways as a sum of consecutive naturals, for example, 153182137 + ... + 153188939.

It is an arithmetic number, because the mean of its divisors is an integer number (18914575680).

Almost surely, 2^{1042121215014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042121215014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210532843520).

1042121215014 is an abundant number, since it is smaller than the sum of its proper divisors (1378944472026).

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

1042121215014 is a wasteful number, since it uses less digits than its factorization.

1042121215014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 1042121215014 its reverse (4105121212401), we get a palindrome (5147242427415).

The spelling of 1042121215014 in words is "one trillion, forty-two billion, one hundred twenty-one million, two hundred fifteen thousand, fourteen".