122211220100112 has 720 divisors, whose sum is σ = 412150116811888. Its totient is φ = 33571169280000.

The previous prime is 122211220100003. The next prime is 122211220100243. The reversal of 122211220100112 is 211001022112221.

122211220100112 is a `hidden beast` number, since 1 + 22 + 211 + 220 + 100 + 112 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33898664929536 + 88312555170576 = 5822256^2 + 9397476^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9133183662 + ... + 9133197042.

Almost surely, 2^{122211220100112} is an apocalyptic number.

122211220100112 is a gapful number since it is divisible by the number (12) 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 122211220100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206075058405944).

122211220100112 is an abundant number, since it is smaller than the sum of its proper divisors (289938896711776).

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

122211220100112 is a wasteful number, since it uses less digits than its factorization.

122211220100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 14132 counting only the distinct ones).

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

Adding to 122211220100112 its reverse (211001022112221), we get a palindrome (333212242212333).

The spelling of 122211220100112 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty million, one hundred thousand, one hundred twelve".