122100121221120 has 288 divisors, whose sum is σ = 483630951454560. Its totient is φ = 27908598988800.

The previous prime is 122100121221101. The next prime is 122100121221151. The reversal of 122100121221120 is 21122121001221.

122100121221120 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 1 + 212 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122100121221093 and 122100121221102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 93988531 + ... + 95278770.

It is an arithmetic number, because the mean of its divisors is an integer number (1679274136995).

Almost surely, 2^{122100121221120} is an apocalyptic number.

122100121221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100121221120 is an abundant number, since it is smaller than the sum of its proper divisors (361530830233440).

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

122100121221120 is a wasteful number, since it uses less digits than its factorization.

122100121221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189267341 (or 189267318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122100121221120 its reverse (21122121001221), we get a palindrome (143222242222341).

The spelling of 122100121221120 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".