10222122244440 has 128 divisors (see below), whose sum is σ = 30801300019200. Its totient is φ = 2713910115840.

The previous prime is 10222122244429. The next prime is 10222122244457. The reversal of 10222122244440 is 4444222122201.

It is a super-2 number, since 2×10222122244440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10222122244398 and 10222122244407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142589805 + ... + 142661475.

It is an arithmetic number, because the mean of its divisors is an integer number (240635156400).

Almost surely, 2^{10222122244440} is an apocalyptic number.

10222122244440 is a gapful number since it is divisible by the number (10) 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 10222122244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400650009600).

10222122244440 is an abundant number, since it is smaller than the sum of its proper divisors (20579177774760).

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

10222122244440 is a wasteful number, since it uses less digits than its factorization.

10222122244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76897 (or 76893 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 10222122244440 its reverse (4444222122201), we get a palindrome (14666344366641).

The spelling of 10222122244440 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred forty-four thousand, four hundred forty".