122032220220020 has 72 divisors (see below), whose sum is σ = 281939418806472. Its totient is φ = 44334900290560.

The previous prime is 122032220220013. The next prime is 122032220220047. The reversal of 122032220220020 is 20022022230221.

122032220220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 373570329616 + 121658649890404 = 611204^2 + 11029898^2 .

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 = 122032220219974 and 122032220220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20329097 + ... + 25638576.

It is an arithmetic number, because the mean of its divisors is an integer number (3915825261201).

Almost surely, 2^{122032220220020} is an apocalyptic number.

122032220220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122032220220020 is an abundant number, since it is smaller than the sum of its proper divisors (159907198586452).

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

122032220220020 is a wasteful number, since it uses less digits than its factorization.

122032220220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45968801 (or 45968788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122032220220020 its reverse (20022022230221), we get a palindrome (142054242450241).

The spelling of 122032220220020 in words is "one hundred twenty-two trillion, thirty-two billion, two hundred twenty million, two hundred twenty thousand, twenty".