122302101120 has 128 divisors (see below), whose sum is σ = 393623418240. Its totient is φ = 32297201664.

The previous prime is 122302101113. The next prime is 122302101133. The reversal of 122302101120 is 21101203221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122302101120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111459 + ... + 506978.

It is an arithmetic number, because the mean of its divisors is an integer number (3075182955).

Almost surely, 2^122302101120 is an apocalyptic number.

122302101120 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 122302101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196811709120).

122302101120 is an abundant number, since it is smaller than the sum of its proper divisors (271321317120).

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

122302101120 is a wasteful number, since it uses less digits than its factorization.

122302101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618562 (or 618550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122302101120 its reverse (21101203221), we get a palindrome (143403304341).

The spelling of 122302101120 in words is "one hundred twenty-two billion, three hundred two million, one hundred one thousand, one hundred twenty".