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12120331200 = 263524675407
BaseRepresentation
bin10110100100110110…
…11001001111000000
31011021200112121201120
423102123121033000
5144310301044300
65322404432240
7606232054365
oct132233311700
934250477646
1012120331200
11515a67a24a
1224230a8680
1311b2076413
1482d9c246c
154ae0de3a0
hex2d26d93c0

12120331200 has 168 divisors, whose sum is σ = 39857306112. Its totient is φ = 3224570880.

The previous prime is 12120331199. The next prime is 12120331207. The reversal of 12120331200 is 213302121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120331207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238897 + ... + 2244303.

Almost surely, 212120331200 is an apocalyptic number.

12120331200 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 12120331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928653056).

12120331200 is an abundant number, since it is smaller than the sum of its proper divisors (27736974912).

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

12120331200 is a wasteful number, since it uses less digits than its factorization.

12120331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12120331200 its reverse (213302121), we get a palindrome (12333633321).

The spelling of 12120331200 in words is "twelve billion, one hundred twenty million, three hundred thirty-one thousand, two hundred".