123101031312 has 320 divisors, whose sum is σ = 450085478400. Its totient is φ = 31360296960.

The previous prime is 123101031307. The next prime is 123101031349. The reversal of 123101031312 is 213130101321.

123101031312 is a `hidden beast` number, since 1 + 2 + 310 + 10 + 31 + 312 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 913737 + ... + 1039767.

It is an arithmetic number, because the mean of its divisors is an integer number (1406517120).

Almost surely, 2^123101031312 is an apocalyptic number.

123101031312 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 123101031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225042739200).

123101031312 is an abundant number, since it is smaller than the sum of its proper divisors (326984447088).

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

123101031312 is a wasteful number, since it uses less digits than its factorization.

123101031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126091 (or 126079 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123101031312 its reverse (213130101321), we get a palindrome (336231132633).

The spelling of 123101031312 in words is "one hundred twenty-three billion, one hundred one million, thirty-one thousand, three hundred twelve".