122120122121020 has 48 divisors (see below), whose sum is σ = 263062470666240. Its totient is φ = 47598117437504.

The previous prime is 122120122121003. The next prime is 122120122121027. The reversal of 122120122121020 is 20121221021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120122121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285943060 + ... + 286369819.

It is an arithmetic number, because the mean of its divisors is an integer number (5480468138880).

Almost surely, 2^{122120122121020} is an apocalyptic number.

122120122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120122121020 is an abundant number, since it is smaller than the sum of its proper divisors (140942348545220).

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

122120122121020 is a wasteful number, since it uses less digits than its factorization.

122120122121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572313162 (or 572313160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122120122121020 its reverse (20121221021221), we get a palindrome (142241343142241).

The spelling of 122120122121020 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".