122121001220 has 12 divisors (see below), whose sum is σ = 256454102604. Its totient is φ = 48848400480.

The previous prime is 122121001199. The next prime is 122121001231. The reversal of 122121001220 is 22100121221.

It can be written as a sum of positive squares in 2 ways, for example, as 91708431556 + 30412569664 = 302834^2 + 174392^2 .

It is a super-3 number, since 3×122121001220³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121001195 and 122121001204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3053025011 + ... + 3053025050.

It is an arithmetic number, because the mean of its divisors is an integer number (21371175217).

Almost surely, 2^122121001220 is an apocalyptic number.

122121001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121001220 is an abundant number, since it is smaller than the sum of its proper divisors (134333101384).

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

122121001220 is a wasteful number, since it uses less digits than its factorization.

122121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106050070 (or 6106050068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122121001220 its reverse (22100121221), we get a palindrome (144221122441).

It can be divided in two parts, 122121001 and 220, that added together give a palindrome (122121221).

The spelling of 122121001220 in words is "one hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred twenty".