322121032200120 has 128 divisors (see below), whose sum is σ = 970069626662400. Its totient is φ = 85569494244864.

The previous prime is 322121032200119. The next prime is 322121032200127. The reversal of 322121032200120 is 21002230121223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322121032200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056886711 + ... + 1057191449.

It is an arithmetic number, because the mean of its divisors is an integer number (7578668958300).

Almost surely, 2^{322121032200120} is an apocalyptic number.

322121032200120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322121032200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485034813331200).

322121032200120 is an abundant number, since it is smaller than the sum of its proper divisors (647948594462280).

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

322121032200120 is a wasteful number, since it uses less digits than its factorization.

322121032200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338509 (or 338505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 322121032200120 its reverse (21002230121223), we get a palindrome (343123262321343).

The spelling of 322121032200120 in words is "three hundred twenty-two trillion, one hundred twenty-one billion, thirty-two million, two hundred thousand, one hundred twenty".