122011101112020 has 192 divisors, whose sum is σ = 346674853324800. Its totient is φ = 32056893407232.

The previous prime is 122011101111973. The next prime is 122011101112079. The reversal of 122011101112020 is 20211101110221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27035473284 + ... + 27035477796.

It is an arithmetic number, because the mean of its divisors is an integer number (1805598194400).

Almost surely, 2^{122011101112020} is an apocalyptic number.

122011101112020 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 122011101112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173337426662400).

122011101112020 is an abundant number, since it is smaller than the sum of its proper divisors (224663752212780).

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

122011101112020 is a wasteful number, since it uses less digits than its factorization.

122011101112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122011101112020 its reverse (20211101110221), we get a palindrome (142222202222241).

The spelling of 122011101112020 in words is "one hundred twenty-two trillion, eleven billion, one hundred one million, one hundred twelve thousand, twenty".