10224414220020 has 384 divisors, whose sum is σ = 39476953055232. Its totient is φ = 1908122572800.

The previous prime is 10224414219977. The next prime is 10224414220043. The reversal of 10224414220020 is 2002241442201.

It is a happy number.

It is a super-2 number, since 2×10224414220020² (a number of 27 digits) contains 22 as substring.

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, 78276 + ... + 4522715.

It is an arithmetic number, because the mean of its divisors is an integer number (102804565248).

Almost surely, 2^{10224414220020} is an apocalyptic number.

10224414220020 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 10224414220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738476527616).

10224414220020 is an abundant number, since it is smaller than the sum of its proper divisors (29252538835212).

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

10224414220020 is a wasteful number, since it uses less digits than its factorization.

10224414220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601071 (or 4601069 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10224414220020 its reverse (2002241442201), we get a palindrome (12226655662221).

The spelling of 10224414220020 in words is "ten trillion, two hundred twenty-four billion, four hundred fourteen million, two hundred twenty thousand, twenty".