123122111310 has 288 divisors, whose sum is σ = 373069622016. Its totient is φ = 28101427200.

The previous prime is 123122111303. The next prime is 123122111327. The reversal of 123122111310 is 13111221321.

123122111310 is a `hidden beast` number, since 12 + 312 + 21 + 11 + 310 = 666.

It is a super-2 number, since 2×123122111310² (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 a Curzon number.

It is a congruent number.

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, 12485902 + ... + 12495758.

It is an arithmetic number, because the mean of its divisors is an integer number (1295380632).

Almost surely, 2^123122111310 is an apocalyptic number.

123122111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123122111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186534811008).

123122111310 is an abundant number, since it is smaller than the sum of its proper divisors (249947510706).

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

123122111310 is a wasteful number, since it uses less digits than its factorization.

123122111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9960 (or 9946 counting only the distinct ones).

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

Adding to 123122111310 its reverse (13111221321), we get a palindrome (136233332631).

It can be divided in two parts, 123122 and 111310, that added together give a palindrome (234432).

The spelling of 123122111310 in words is "one hundred twenty-three billion, one hundred twenty-two million, one hundred eleven thousand, three hundred ten".