122011212100120 has 256 divisors, whose sum is σ = 327125112652800. Its totient is φ = 40088410306560.

The previous prime is 122011212100111. The next prime is 122011212100121. The reversal of 122011212100120 is 21001212110221.

It is a junction number, because it is equal to n+sod(n) for n = 122011212100094 and 122011212100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011212100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291363451 + ... + 291781909.

It is an arithmetic number, because the mean of its divisors is an integer number (1277832471300).

Almost surely, 2^{122011212100120} is an apocalyptic number.

122011212100120 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 122011212100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163562556326400).

122011212100120 is an abundant number, since it is smaller than the sum of its proper divisors (205113900552680).

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

122011212100120 is a wasteful number, since it uses less digits than its factorization.

122011212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418978 (or 418974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122011212100120 its reverse (21001212110221), we get a palindrome (143012424210341).

The spelling of 122011212100120 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, one hundred thousand, one hundred twenty".