42221212512 has 96 divisors (see below), whose sum is σ = 118835942400. Its totient is φ = 13078161408.

The previous prime is 42221212483. The next prime is 42221212519. The reversal of 42221212512 is 21521212224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221212519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34812 + ... + 292667.

It is an arithmetic number, because the mean of its divisors is an integer number (1237874400).

Almost surely, 2^42221212512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59417971200).

42221212512 is an abundant number, since it is smaller than the sum of its proper divisors (76614729888).

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

42221212512 is a wasteful number, since it uses less digits than its factorization.

42221212512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327588 (or 327580 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

Adding to 42221212512 its reverse (21521212224), we get a palindrome (63742424736).

The spelling of 42221212512 in words is "forty-two billion, two hundred twenty-one million, two hundred twelve thousand, five hundred twelve".