22123400041000 has 128 divisors (see below), whose sum is σ = 55009056454560. Its totient is φ = 8299167744000.

The previous prime is 22123400040997. The next prime is 22123400041013. The reversal of 22123400041000 is 14000432122.

It can be written as a sum of positive squares in 16 ways, for example, as 1117109480356 + 21006290560644 = 1056934^2 + 4583262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461384 + ... + 7092616.

Almost surely, 2^{22123400041000} is an apocalyptic number.

22123400041000 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 22123400041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27504528227280).

22123400041000 is an abundant number, since it is smaller than the sum of its proper divisors (32885656413560).

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

22123400041000 is a wasteful number, since it uses less digits than its factorization.

22123400041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631552 (or 4631538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22123400041000 its reverse (14000432122), we get a palindrome (22137400473122).

The spelling of 22123400041000 in words is "twenty-two trillion, one hundred twenty-three billion, four hundred million, forty-one thousand".