123052202400 has 288 divisors, whose sum is σ = 412332984000. Its totient is φ = 31851601920.

The previous prime is 123052202347. The next prime is 123052202401. The reversal of 123052202400 is 4202250321.

123052202400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123052202401) 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, 44309812 + ... + 44312588.

It is an arithmetic number, because the mean of its divisors is an integer number (1431711750).

Almost surely, 2^123052202400 is an apocalyptic number.

123052202400 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 123052202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206166492000).

123052202400 is an abundant number, since it is smaller than the sum of its proper divisors (289280781600).

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

123052202400 is a wasteful number, since it uses less digits than its factorization.

123052202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 123052202400 its reverse (4202250321), we get a palindrome (127254452721).

The spelling of 123052202400 in words is "one hundred twenty-three billion, fifty-two million, two hundred two thousand, four hundred".