122111000000 has 392 divisors, whose sum is σ = 350396452368. Its totient is φ = 41728000000.

The previous prime is 122110999981. The next prime is 122111000009. The reversal of 122111000000 is 111221.

It is a super-2 number, since 2×122111000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186999674 + ... + 187000326.

Almost surely, 2^122111000000 is an apocalyptic number.

122111000000 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 122111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175198226184).

122111000000 is an abundant number, since it is smaller than the sum of its proper divisors (228285452368).

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

122111000000 is an frugal number, since it uses more digits than its factorization.

122111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 122111000000 its reverse (111221), we get a palindrome (122111111221).

The spelling of 122111000000 in words is "one hundred twenty-two billion, one hundred eleven million", and thus it is an aban number.