42211022011224 has 64 divisors (see below), whose sum is σ = 115121710080000. Its totient is φ = 12791136462720.

The previous prime is 42211022011159. The next prime is 42211022011273.

42211022011224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42211022011194 and 42211022011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49927977 + ... + 50766375.

It is an arithmetic number, because the mean of its divisors is an integer number (1798776720000).

Almost surely, 2^{42211022011224} is an apocalyptic number.

42211022011224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42211022011224 is an abundant number, since it is smaller than the sum of its proper divisors (72910688068776).

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

42211022011224 is a wasteful number, since it uses less digits than its factorization.

42211022011224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029128 (or 1029124 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4221102 and 2011224, that added together give a palindrome (6232326).

The spelling of 42211022011224 in words is "forty-two trillion, two hundred eleven billion, twenty-two million, eleven thousand, two hundred twenty-four".