22351004240000 has 160 divisors (see below), whose sum is σ = 55711400629500. Its totient is φ = 8929158656000.

The previous prime is 22351004239999. The next prime is 22351004240011. The reversal of 22351004240000 is 4240015322.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8327656949824 + 14023347290176 = 2885768^2 + 3744776^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63584726 + ... + 63935274.

Almost surely, 2^{22351004240000} is an apocalyptic number.

22351004240000 is a gapful number since it is divisible by the number (20) 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 22351004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855700314750).

22351004240000 is an abundant number, since it is smaller than the sum of its proper divisors (33360396389500).

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

22351004240000 is an frugal number, since it uses more digits than its factorization.

22351004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351380 (or 351353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 22351004240000 its reverse (4240015322), we get a palindrome (22355244255322).

The spelling of 22351004240000 in words is "twenty-two trillion, three hundred fifty-one billion, four million, two hundred forty thousand".