122111220000000 has 1152 divisors, whose sum is σ = 506501903351808. Its totient is φ = 25372800000000.

The previous prime is 122111219999981. The next prime is 122111220000017. The reversal of 122111220000000 is 22111221.

It is a super-2 number, since 2×122111220000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4619986785 + ... + 4620013215.

It is an arithmetic number, because the mean of its divisors is an integer number (439671791104).

Almost surely, 2^{122111220000000} is an apocalyptic number.

122111220000000 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 122111220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253250951675904).

122111220000000 is an abundant number, since it is smaller than the sum of its proper divisors (384390683351808).

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

122111220000000 is an frugal number, since it uses more digits than its factorization.

122111220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26503 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122111220000000 its reverse (22111221), we get a palindrome (122111242111221).

The spelling of 122111220000000 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million", and thus it is an aban number.