20414136424122 has 192 divisors, whose sum is σ = 52216218722304. Its totient is φ = 5642702714880.

The previous prime is 20414136424111. The next prime is 20414136424183. The reversal of 20414136424122 is 22142463141402.

20414136424122 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 1 + 3 + 642 + 4 + 1 + 2 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530632638 + ... + 1530645974.

It is an arithmetic number, because the mean of its divisors is an integer number (271959472512).

Almost surely, 2^{20414136424122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414136424122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26108109361152).

20414136424122 is an abundant number, since it is smaller than the sum of its proper divisors (31802082298182).

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

20414136424122 is a wasteful number, since it uses less digits than its factorization.

20414136424122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15853 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 20414136424122 its reverse (22142463141402), we get a palindrome (42556599565524).

The spelling of 20414136424122 in words is "twenty trillion, four hundred fourteen billion, one hundred thirty-six million, four hundred twenty-four thousand, one hundred twenty-two".