122012101120 has 240 divisors, whose sum is σ = 366487433928. Its totient is φ = 38614302720.

The previous prime is 122012101069. The next prime is 122012101121. The reversal of 122012101120 is 21101210221.

It can be written as a sum of positive squares in 4 ways, for example, as 73280655616 + 48731445504 = 270704^2 + 220752^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 122012101120.

It is not an unprimeable number, because it can be changed into a prime (122012101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1593310 + ... + 1668130.

Almost surely, 2^122012101120 is an apocalyptic number.

122012101120 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 122012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183243716964).

122012101120 is an abundant number, since it is smaller than the sum of its proper divisors (244475332808).

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

122012101120 is an equidigital number, since it uses as much as digits as its factorization.

122012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74871 (or 74848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122012101120 its reverse (21101210221), we get a palindrome (143113311341).

The spelling of 122012101120 in words is "one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred twenty".