12801600 has 252 divisors, whose sum is σ = 52409344. Its totient is φ = 2903040.

The previous prime is 12801589. The next prime is 12801637. The reversal of 12801600 is 610821.

12801600 = T₃₈₄ + T₃₈₅ + ... + T₅₁₀.

It is a tau number, because it is divible by the number of its divisors (252).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100737 + ... + 100863.

Almost surely, 2^12801600 is an apocalyptic number.

12801600 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 12801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26204672).

12801600 is an abundant number, since it is smaller than the sum of its proper divisors (39607744).

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

12801600 is a wasteful number, since it uses less digits than its factorization.

12801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12801600 is about 3577.9323638101. The cubic root of 12801600 is about 233.9311653767.

The spelling of 12801600 in words is "twelve million, eight hundred one thousand, six hundred".