138122111022120 has 256 divisors, whose sum is σ = 461364653088000. Its totient is φ = 36756028108800.

The previous prime is 138122111022031. The next prime is 138122111022149. The reversal of 138122111022120 is 21220111221831.

138122111022120 is a `hidden beast` number, since 1 + 381 + 22 + 11 + 10 + 221 + 20 = 666.

It is a super-2 number, since 2×138122111022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085639871 + ... + 1085767089.

It is an arithmetic number, because the mean of its divisors is an integer number (1802205676125).

Almost surely, 2^{138122111022120} is an apocalyptic number.

138122111022120 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 138122111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230682326544000).

138122111022120 is an abundant number, since it is smaller than the sum of its proper divisors (323242542065880).

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

138122111022120 is a wasteful number, since it uses less digits than its factorization.

138122111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129321 (or 129311 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 138122111022120 its reverse (21220111221831), we get a palindrome (159342222243951).

The spelling of 138122111022120 in words is "one hundred thirty-eight trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".