122020011211122 has 128 divisors (see below), whose sum is σ = 277173964800000. Its totient is φ = 39775805334720.

The previous prime is 122020011211103. The next prime is 122020011211187. The reversal of 122020011211122 is 221112110020221.

122020011211122 is a `hidden beast` number, since 1 + 220 + 200 + 1 + 121 + 1 + 122 = 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 = 122020011211095 and 122020011211104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081690879 + ... + 1081803677.

It is an arithmetic number, because the mean of its divisors is an integer number (2165421600000).

Almost surely, 2^{122020011211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020011211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138586982400000).

122020011211122 is an abundant number, since it is smaller than the sum of its proper divisors (155153953588878).

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

122020011211122 is a wasteful number, since it uses less digits than its factorization.

122020011211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114093 (or 114087 counting only the distinct ones).

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

Adding to 122020011211122 its reverse (221112110020221), we get a palindrome (343132121231343).

The spelling of 122020011211122 in words is "one hundred twenty-two trillion, twenty billion, eleven million, two hundred eleven thousand, one hundred twenty-two".