122022022100000 has 144 divisors (see below), whose sum is σ = 327566568272832. Its totient is φ = 44371644000000.

The previous prime is 122022022099997. The next prime is 122022022100003. The reversal of 122022022100000 is 1220220221.

It is an interprime number because it is at equal distance from previous prime (122022022099997) and next prime (122022022100003).

It is not an unprimeable number, because it can be changed into a prime (122022022100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54364556 + ... + 56564555.

It is an arithmetic number, because the mean of its divisors is an integer number (2274767835228).

Almost surely, 2^{122022022100000} is an apocalyptic number.

122022022100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022022100000 is an abundant number, since it is smaller than the sum of its proper divisors (205544546172832).

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

122022022100000 is an equidigital number, since it uses as much as digits as its factorization.

122022022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110929157 (or 110929129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122022022100000 its reverse (1220220221), we get a palindrome (122023242320221).

122022022100000 divided by its reverse (1220220221) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 12202 and 2022100000, that added together give a palindrome (2022112202).

The spelling of 122022022100000 in words is "one hundred twenty-two trillion, twenty-two billion, twenty-two million, one hundred thousand".