22121320312014 has 256 divisors, whose sum is σ = 56703993421824. Its totient is φ = 5585952153600.

The previous prime is 22121320311991. The next prime is 22121320312057. The reversal of 22121320312014 is 41021302312122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10967435934 + ... + 10967437950.

It is an arithmetic number, because the mean of its divisors is an integer number (221499974304).

Almost surely, 2^{22121320312014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121320312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28351996710912).

22121320312014 is an abundant number, since it is smaller than the sum of its proper divisors (34582673109810).

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

22121320312014 is a wasteful number, since it uses less digits than its factorization.

22121320312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831.

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

Adding to 22121320312014 its reverse (41021302312122), we get a palindrome (63142622624136).

The spelling of 22121320312014 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred twenty million, three hundred twelve thousand, fourteen".