122111301312 has 1344 divisors, whose sum is σ = 497931033600. Its totient is φ = 27590492160.

The previous prime is 122111301287. The next prime is 122111301313. The reversal of 122111301312 is 213103111221.

122111301312 is a `hidden beast` number, since 1 + 221 + 1 + 130 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×122111301312² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122111301313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1120287114 + ... + 1120287222.

It is an arithmetic number, because the mean of its divisors is an integer number (370484400).

Almost surely, 2^122111301312 is an apocalyptic number.

122111301312 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 122111301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248965516800).

122111301312 is an abundant number, since it is smaller than the sum of its proper divisors (375819732288).

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

122111301312 is a wasteful number, since it uses less digits than its factorization.

122111301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122111301312 its reverse (213103111221), we get a palindrome (335214412533).

The spelling of 122111301312 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred one thousand, three hundred twelve".