122001300111312 has 120 divisors (see below), whose sum is σ = 347866977276000. Its totient is φ = 39907489192704.

The previous prime is 122001300111283. The next prime is 122001300111319. The reversal of 122001300111312 is 213111003100221.

122001300111312 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 300 + 11 + 131 + 2 = 666.

It is a super-2 number, since 2×122001300111312² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001300111319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32472862 + ... + 36034557.

It is an arithmetic number, because the mean of its divisors is an integer number (2898891477300).

Almost surely, 2^{122001300111312} is an apocalyptic number.

122001300111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001300111312 is an abundant number, since it is smaller than the sum of its proper divisors (225865677164688).

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

122001300111312 is a wasteful number, since it uses less digits than its factorization.

122001300111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68507665 (or 68507656 counting only the distinct ones).

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

Adding to 122001300111312 its reverse (213111003100221), we get a palindrome (335112303211533).

The spelling of 122001300111312 in words is "one hundred twenty-two trillion, one billion, three hundred million, one hundred eleven thousand, three hundred twelve".