13442101200 has 240 divisors, whose sum is σ = 52193832000. Its totient is φ = 3258662400.

The previous prime is 13442101193. The next prime is 13442101201. The reversal of 13442101200 is 210124431.

13442101200 is a `hidden beast` number, since 13 + 442 + 10 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62226 + ... + 175374.

It is an arithmetic number, because the mean of its divisors is an integer number (217474300).

Almost surely, 2^13442101200 is an apocalyptic number.

13442101200 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 13442101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26096916000).

13442101200 is an abundant number, since it is smaller than the sum of its proper divisors (38751730800).

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

13442101200 is a wasteful number, since it uses less digits than its factorization.

13442101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113187 (or 113170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13442101200 its reverse (210124431), we get a palindrome (13652225631).

The spelling of 13442101200 in words is "thirteen billion, four hundred forty-two million, one hundred one thousand, two hundred".