123201504 has 72 divisors (see below), whose sum is σ = 352798992. Its totient is φ = 40780800.

The previous prime is 123201473. The next prime is 123201553. The reversal of 123201504 is 405102321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123201504² = 30357221175724032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 42072 + ... + 44904.

It is an arithmetic number, because the mean of its divisors is an integer number (4899986).

Almost surely, 2^123201504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176399496).

123201504 is an abundant number, since it is smaller than the sum of its proper divisors (229597488).

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

123201504 is a wasteful number, since it uses less digits than its factorization.

123201504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 123201504 is about 11099.6172906997. The cubic root of 123201504 is about 497.5904117561.

Adding to 123201504 its reverse (405102321), we get a palindrome (528303825).

It can be divided in two parts, 12320 and 1504, that added together give a cube (13824 = 24³).

The spelling of 123201504 in words is "one hundred twenty-three million, two hundred one thousand, five hundred four".