123533131200 has 168 divisors, whose sum is σ = 415177437360. Its totient is φ = 32138649600.

The previous prime is 123533131187. The next prime is 123533131213. The reversal of 123533131200 is 2131335321.

It is an interprime number because it is at equal distance from previous prime (123533131187) and next prime (123533131213).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 117055 + ... + 510654.

It is an arithmetic number, because the mean of its divisors is an integer number (2471294270).

Almost surely, 2^123533131200 is an apocalyptic number.

123533131200 is a gapful number since it is divisible by the number (10) 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 123533131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207588718680).

123533131200 is an abundant number, since it is smaller than the sum of its proper divisors (291644306160).

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

123533131200 is a wasteful number, since it uses less digits than its factorization.

123533131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627775 (or 627760 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 123533131200 its reverse (2131335321), we get a palindrome (125664466521).

The spelling of 123533131200 in words is "one hundred twenty-three billion, five hundred thirty-three million, one hundred thirty-one thousand, two hundred".