22142112302310 has 384 divisors, whose sum is σ = 73681310168064. Its totient is φ = 4132251002880.

The previous prime is 22142112302293. The next prime is 22142112302311. The reversal of 22142112302310 is 1320321124122.

It is a super-2 number, since 2×22142112302310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142112302311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13677972 + ... + 15210888.

It is an arithmetic number, because the mean of its divisors is an integer number (191878411896).

Almost surely, 2^{22142112302310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142112302310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840655084032).

22142112302310 is an abundant number, since it is smaller than the sum of its proper divisors (51539197865754).

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

22142112302310 is a wasteful number, since it uses less digits than its factorization.

22142112302310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533008 (or 1532995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22142112302310 its reverse (1320321124122), we get a palindrome (23462433426432).

It can be divided in two parts, 22142112 and 302310, that added together give a palindrome (22444422).

The spelling of 22142112302310 in words is "twenty-two trillion, one hundred forty-two billion, one hundred twelve million, three hundred two thousand, three hundred ten".