10123523200 has 384 divisors, whose sum is σ = 29875587840. Its totient is φ = 3317760000.

The previous prime is 10123523191. The next prime is 10123523231. The reversal of 10123523200 is 232532101.

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, 67043125 + ... + 67043275.

It is an arithmetic number, because the mean of its divisors is an integer number (77801010).

Almost surely, 2^10123523200 is an apocalyptic number.

10123523200 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 10123523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937793920).

10123523200 is an abundant number, since it is smaller than the sum of its proper divisors (19752064640).

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

10123523200 is a wasteful number, since it uses less digits than its factorization.

10123523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 10123523200 in words is "ten billion, one hundred twenty-three million, five hundred twenty-three thousand, two hundred".