123010472448 has 480 divisors, whose sum is σ = 410473103040. Its totient is φ = 36548444160.

The previous prime is 123010472443. The next prime is 123010472449. The reversal of 123010472448 is 844274010321.

123010472448 is a `hidden beast` number, since 12 + 30 + 104 + 72 + 448 = 666.

It is a super-3 number, since 3×123010472448³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123010472443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40184838 + ... + 40187898.

It is an arithmetic number, because the mean of its divisors is an integer number (855152298).

Almost surely, 2^123010472448 is an apocalyptic number.

123010472448 is a gapful number since it is divisible by the number (18) 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 123010472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205236551520).

123010472448 is an abundant number, since it is smaller than the sum of its proper divisors (287462630592).

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

123010472448 is an equidigital number, since it uses as much as digits as its factorization.

123010472448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 123010472448 its reverse (844274010321), we get a palindrome (967284482769).

The spelling of 123010472448 in words is "one hundred twenty-three billion, ten million, four hundred seventy-two thousand, four hundred forty-eight".