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12141150400 = 265237673061
BaseRepresentation
bin10110100111010101…
…10100000011000000
31011100010201100022001
423103222310003000
5144331113303100
65324430553344
7606604034641
oct132352640300
934303640261
1012141150400
1151703a9aa5
12242a068854
1311b6485682
148326816c8
154b0d52d6a
hex2d3ab40c0

12141150400 has 168 divisors, whose sum is σ = 31150362896. Its totient is φ = 4653158400.

The previous prime is 12141150397. The next prime is 12141150407. The reversal of 12141150400 is 405114121.

It is not an unprimeable number, because it can be changed into a prime (12141150407) 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, 3964870 + ... + 3967930.

Almost surely, 212141150400 is an apocalyptic number.

12141150400 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 12141150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575181448).

12141150400 is an abundant number, since it is smaller than the sum of its proper divisors (19009212496).

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

12141150400 is a wasteful number, since it uses less digits than its factorization.

12141150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 12141150400 its reverse (405114121), we get a palindrome (12546264521).

The spelling of 12141150400 in words is "twelve billion, one hundred forty-one million, one hundred fifty thousand, four hundred".