123352401312 has 240 divisors, whose sum is σ = 436423458240. Its totient is φ = 33388526592.

The previous prime is 123352401301. The next prime is 123352401313. The reversal of 123352401312 is 213104253321.

123352401312 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 524 + 0 + 131 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123352401313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165828 + ... + 523644.

It is an arithmetic number, because the mean of its divisors is an integer number (1818431076).

Almost surely, 2^123352401312 is an apocalyptic number.

123352401312 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 123352401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218211729120).

123352401312 is an abundant number, since it is smaller than the sum of its proper divisors (313071056928).

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

123352401312 is a wasteful number, since it uses less digits than its factorization.

123352401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357865 (or 357848 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123352401312 its reverse (213104253321), we get a palindrome (336456654633).

The spelling of 123352401312 in words is "one hundred twenty-three billion, three hundred fifty-two million, four hundred one thousand, three hundred twelve".