122120202122120 has 16 divisors (see below), whose sum is σ = 274770454774860. Its totient is φ = 48848080848832.

The previous prime is 122120202122099. The next prime is 122120202122129. The reversal of 122120202122120 is 21221202021221.

It can be written as a sum of positive squares in 2 ways, for example, as 120677123678596 + 1443078443524 = 10985314^2 + 1201282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122120202122092 and 122120202122101.

It is not an unprimeable number, because it can be changed into a prime (122120202122129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526502526487 + ... + 1526502526566.

Almost surely, 2^{122120202122120} is an apocalyptic number.

122120202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120202122120 is an abundant number, since it is smaller than the sum of its proper divisors (152650252652740).

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

122120202122120 is a wasteful number, since it uses less digits than its factorization.

122120202122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053005053064 (or 3053005053060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122120202122120 its reverse (21221202021221), we get a palindrome (143341404143341).

The spelling of 122120202122120 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".