122101323120 has 480 divisors, whose sum is σ = 482571827712. Its totient is φ = 27083040768.

The previous prime is 122101323103. The next prime is 122101323133. The reversal of 122101323120 is 21323101221.

122101323120 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 323 + 120 = 666.

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 = 122101323093 and 122101323102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104987659 + ... + 104988821.

Almost surely, 2^122101323120 is an apocalyptic number.

122101323120 is a gapful number since it is divisible by the number (10) 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 122101323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241285913856).

122101323120 is an abundant number, since it is smaller than the sum of its proper divisors (360470504592).

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

122101323120 is a wasteful number, since it uses less digits than its factorization.

122101323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122101323120 its reverse (21323101221), we get a palindrome (143424424341).

The spelling of 122101323120 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-three thousand, one hundred twenty".