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12042010200 = 233521117910193
BaseRepresentation
bin10110011011100001…
…00111111001011000
31011002020011111111210
423031300213321120
5144130223311300
65310530023120
7604261253313
oct131560477130
934066144453
1012042010200
11511a445550
122400a17aa0
13119ba8332c
1482343597a
154a72bd050
hex2cdc27e58

12042010200 has 192 divisors, whose sum is σ = 40955414400. Its totient is φ = 2902681600.

The previous prime is 12042010187. The next prime is 12042010237. The reversal of 12042010200 is 201024021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1176304 + ... + 1186496.

It is an arithmetic number, because the mean of its divisors is an integer number (213309450).

Almost surely, 212042010200 is an apocalyptic number.

12042010200 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 12042010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477707200).

12042010200 is an abundant number, since it is smaller than the sum of its proper divisors (28913404200).

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

12042010200 is a wasteful number, since it uses less digits than its factorization.

12042010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12042010200 its reverse (201024021), we get a palindrome (12243034221).

The spelling of 12042010200 in words is "twelve billion, forty-two million, ten thousand, two hundred".