123534201300 has 144 divisors (see below), whose sum is σ = 366392424384. Its totient is φ = 32117120000.

The previous prime is 123534201277. The next prime is 123534201331. The reversal of 123534201300 is 3102435321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26331955 + ... + 26336645.

It is an arithmetic number, because the mean of its divisors is an integer number (2544391836).

Almost surely, 2^123534201300 is an apocalyptic number.

123534201300 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 123534201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183196212192).

123534201300 is an abundant number, since it is smaller than the sum of its proper divisors (242858223084).

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

123534201300 is a wasteful number, since it uses less digits than its factorization.

123534201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 123534201300 its reverse (3102435321), we get a palindrome (126636636621).

The spelling of 123534201300 in words is "one hundred twenty-three billion, five hundred thirty-four million, two hundred one thousand, three hundred".