122211020011120 has 80 divisors (see below), whose sum is σ = 287079740095680. Its totient is φ = 48379177728000.

The previous prime is 122211020011111. The next prime is 122211020011123. The reversal of 122211020011120 is 21110020112221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122211020011094 and 122211020011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211020011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15115021 + ... + 21745939.

It is an arithmetic number, because the mean of its divisors is an integer number (3588496751196).

Almost surely, 2^{122211020011120} is an apocalyptic number.

122211020011120 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 122211020011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143539870047840).

122211020011120 is an abundant number, since it is smaller than the sum of its proper divisors (164868720084560).

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

122211020011120 is a wasteful number, since it uses less digits than its factorization.

122211020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633314 (or 6633308 counting only the distinct ones).

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

Adding to 122211020011120 its reverse (21110020112221), we get a palindrome (143321040123341).

The spelling of 122211020011120 in words is "one hundred twenty-two trillion, two hundred eleven billion, twenty million, eleven thousand, one hundred twenty".