122110101120 has 768 divisors, whose sum is σ = 472189824000. Its totient is φ = 26733772800.

The previous prime is 122110101101. The next prime is 122110101131. The reversal of 122110101120 is 21101011221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122110101096 and 122110101105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434555380 + ... + 434555660.

It is an arithmetic number, because the mean of its divisors is an integer number (614830500).

Almost surely, 2^122110101120 is an apocalyptic number.

122110101120 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 122110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236094912000).

122110101120 is an abundant number, since it is smaller than the sum of its proper divisors (350079722880).

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

122110101120 is a wasteful number, since it uses less digits than its factorization.

122110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122110101120 its reverse (21101011221), we get a palindrome (143211112341).

The spelling of 122110101120 in words is "one hundred twenty-two billion, one hundred ten million, one hundred one thousand, one hundred twenty".