10042311042612 has 144 divisors (see below), whose sum is σ = 27076907999232. Its totient is φ = 3130885200960.

The previous prime is 10042311042611. The next prime is 10042311042629. The reversal of 10042311042612 is 21624011324001.

10042311042612 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 3 + 1 + 1 + 0 + 42 + 612 = 666.

It is a super-2 number, since 2×10042311042612² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042311042611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42339093 + ... + 42575619.

It is an arithmetic number, because the mean of its divisors is an integer number (188034083328).

Almost surely, 2^{10042311042612} is an apocalyptic number.

10042311042612 is a gapful number since it is divisible by the number (12) 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 10042311042612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538453999616).

10042311042612 is an abundant number, since it is smaller than the sum of its proper divisors (17034596956620).

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

10042311042612 is a wasteful number, since it uses less digits than its factorization.

10042311042612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237698 (or 237693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10042311042612 its reverse (21624011324001), we get a palindrome (31666322366613).

The spelling of 10042311042612 in words is "ten trillion, forty-two billion, three hundred eleven million, forty-two thousand, six hundred twelve".