123412272984 has 864 divisors, whose sum is σ = 474892554240. Its totient is φ = 28587686400.

The previous prime is 123412272959. The next prime is 123412273001. The reversal of 123412272984 is 489272214321.

123412272984 is a `hidden beast` number, since 1 + 2 + 341 + 227 + 2 + 9 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 203314809 + ... + 203315415.

It is an arithmetic number, because the mean of its divisors is an integer number (549644160).

Almost surely, 2^123412272984 is an apocalyptic number.

123412272984 is a gapful number since it is divisible by the number (14) 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 123412272984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237446277120).

123412272984 is an abundant number, since it is smaller than the sum of its proper divisors (351480281256).

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

123412272984 is a wasteful number, since it uses less digits than its factorization.

123412272984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 674 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 123412272984 in words is "one hundred twenty-three billion, four hundred twelve million, two hundred seventy-two thousand, nine hundred eighty-four".