122122101332020 has 24 divisors (see below), whose sum is σ = 256773417049800. Its totient is φ = 48788458770432.

The previous prime is 122122101332009. The next prime is 122122101332089. The reversal of 122122101332020 is 20233101221221.

It can be written as a sum of positive squares in 4 ways, for example, as 67910158340644 + 54211942991376 = 8240762^2 + 7362876^2 .

It is a super-2 number, since 2×122122101332020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122101331982 and 122122101332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3773843565 + ... + 3773875924.

It is an arithmetic number, because the mean of its divisors is an integer number (10698892377075).

Almost surely, 2^{122122101332020} is an apocalyptic number.

122122101332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122101332020 is an abundant number, since it is smaller than the sum of its proper divisors (134651315717780).

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

122122101332020 is a wasteful number, since it uses less digits than its factorization.

122122101332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547720307 (or 7547720305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122122101332020 its reverse (20233101221221), we get a palindrome (142355202553241).

The spelling of 122122101332020 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred one million, three hundred thirty-two thousand, twenty".