42012133121024 has 132 divisors (see below), whose sum is σ = 92343146157864. Its totient is φ = 19090013184000.

The previous prime is 42012133121017. The next prime is 42012133121093.

It is a happy number.

42012133121024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42012133120984 and 42012133121002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 379214759 + ... + 379325529.

Almost surely, 2^{42012133121024} is an apocalyptic number.

42012133121024 is a gapful number since it is divisible by the number (44) 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 42012133121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171573078932).

42012133121024 is an abundant number, since it is smaller than the sum of its proper divisors (50331013036840).

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

42012133121024 is a wasteful number, since it uses less digits than its factorization.

42012133121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113874 (or 113845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 4201213 and 3121024, that added together give a palindrome (7322237).

The spelling of 42012133121024 in words is "forty-two trillion, twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, twenty-four".