42212033021224 has 128 divisors (see below), whose sum is σ = 88837699294080. Its totient is φ = 18642855628800.

The previous prime is 42212033021203. The next prime is 42212033021233.

42212033021224 is nontrivially palindromic in base 10.

42212033021224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42212033021192 and 42212033021201.

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 31 ways as a sum of consecutive naturals, for example, 115108462 + ... + 115474594.

It is an arithmetic number, because the mean of its divisors is an integer number (694044525735).

Almost surely, 2^{42212033021224} is an apocalyptic number.

42212033021224 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 42212033021224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44418849647040).

42212033021224 is an abundant number, since it is smaller than the sum of its proper divisors (46625666272856).

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

42212033021224 is a wasteful number, since it uses less digits than its factorization.

42212033021224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366491 (or 366487 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4221203 and 3021224, that added together give a palindrome (7242427).

The spelling of 42212033021224 in words is "forty-two trillion, two hundred twelve billion, thirty-three million, twenty-one thousand, two hundred twenty-four".