42122222222124 has 384 divisors, whose sum is σ = 118759511162880. Its totient is φ = 11470393958400.

The previous prime is 42122222222123. The next prime is 42122222222161.

42122222222124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42122222222091 and 42122222222100.

It is not an unprimeable number, because it can be changed into a prime (42122222222123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13150863907 + ... + 13150867109.

It is an arithmetic number, because the mean of its divisors is an integer number (309269560320).

Almost surely, 2^{42122222222124} is an apocalyptic number.

42122222222124 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 42122222222124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59379755581440).

42122222222124 is an abundant number, since it is smaller than the sum of its proper divisors (76637288940756).

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

42122222222124 is a wasteful number, since it uses less digits than its factorization.

42122222222124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5739 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 4212222 and 2222124, that added together give a palindrome (6434346).

The spelling of 42122222222124 in words is "forty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-four".