20122671133620 has 576 divisors, whose sum is σ = 71905494528000. Its totient is φ = 4659555352320.

The previous prime is 20122671133493. The next prime is 20122671133637. The reversal of 20122671133620 is 2633117622102.

20122671133620 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 26 + 7 + 1 + 1 + 3 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1110574921 + ... + 1110593039.

It is an arithmetic number, because the mean of its divisors is an integer number (124835928000).

Almost surely, 2^{20122671133620} is an apocalyptic number.

20122671133620 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 20122671133620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35952747264000).

20122671133620 is an abundant number, since it is smaller than the sum of its proper divisors (51782823394380).

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

20122671133620 is a wasteful number, since it uses less digits than its factorization.

20122671133620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18921 (or 18902 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 20122671133620 its reverse (2633117622102), we get a palindrome (22755788755722).

The spelling of 20122671133620 in words is "twenty trillion, one hundred twenty-two billion, six hundred seventy-one million, one hundred thirty-three thousand, six hundred twenty".