122122121002120 has 32 divisors (see below), whose sum is σ = 274931517861720. Its totient is φ = 48820982515200.

The previous prime is 122122121002073. The next prime is 122122121002121. The reversal of 122122121002120 is 21200121221221.

It can be written as a sum of positive squares in 4 ways, for example, as 72762981334884 + 49359139667236 = 8530122^2 + 7025606^2 .

It is not an unprimeable number, because it can be changed into a prime (122122121002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870737931 + ... + 870878170.

Almost surely, 2^{122122121002120} is an apocalyptic number.

122122121002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122121002120 is an abundant number, since it is smaller than the sum of its proper divisors (152809396859600).

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

122122121002120 is a wasteful number, since it uses less digits than its factorization.

122122121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741617865 (or 1741617861 counting only the distinct ones).

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

Adding to 122122121002120 its reverse (21200121221221), we get a palindrome (143322242223341).

The spelling of 122122121002120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred twenty".