122103130001220 has 144 divisors (see below), whose sum is σ = 390057861473280. Its totient is φ = 30832492147200.

The previous prime is 122103130001219. The next prime is 122103130001233. The reversal of 122103130001220 is 22100031301221.

122103130001220 is a `hidden beast` number, since 1 + 2 + 210 + 31 + 300 + 0 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122103130001193 and 122103130001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236721 + ... + 15675960.

It is an arithmetic number, because the mean of its divisors is an integer number (2708735149120).

Almost surely, 2^{122103130001220} is an apocalyptic number.

122103130001220 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 122103130001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195028930736640).

122103130001220 is an abundant number, since it is smaller than the sum of its proper divisors (267954731472060).

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

122103130001220 is a wasteful number, since it uses less digits than its factorization.

122103130001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914826 (or 16914821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122103130001220 its reverse (22100031301221), we get a palindrome (144203161302441).

The spelling of 122103130001220 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred thirty million, one thousand, two hundred twenty".