122313002112 has 384 divisors, whose sum is σ = 417308112000. Its totient is φ = 33645330432.

The previous prime is 122313002089. The next prime is 122313002153. The reversal of 122313002112 is 211200313221.

122313002112 is a `hidden beast` number, since 122 + 31 + 300 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131660464 + ... + 131661392.

It is an arithmetic number, because the mean of its divisors is an integer number (1086739875).

Almost surely, 2^122313002112 is an apocalyptic number.

122313002112 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 122313002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208654056000).

122313002112 is an abundant number, since it is smaller than the sum of its proper divisors (294995109888).

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

122313002112 is a wasteful number, since it uses less digits than its factorization.

122313002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122313002112 its reverse (211200313221), we get a palindrome (333513315333).

The spelling of 122313002112 in words is "one hundred twenty-two billion, three hundred thirteen million, two thousand, one hundred twelve".