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12149419128 = 233711192291511
BaseRepresentation
bin10110101000010100…
…10110110001111000
31011100201021102212020
423110022112301320
5144340222403003
65325324114440
7610034234010
oct132412266170
934321242766
1012149419128
115175037460
122430995a20
1311b80bc202
148337d4c40
154b1937d53
hex2d4296c78

12149419128 has 256 divisors, whose sum is σ = 40061952000. Its totient is φ = 2974579200.

The previous prime is 12149419081. The next prime is 12149419129. The reversal of 12149419128 is 82191494121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12149419128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12149419129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8039893 + ... + 8041403.

It is an arithmetic number, because the mean of its divisors is an integer number (156492000).

Almost surely, 212149419128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12149419128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976000).

12149419128 is an abundant number, since it is smaller than the sum of its proper divisors (27912532872).

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

12149419128 is a wasteful number, since it uses less digits than its factorization.

12149419128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1782 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The spelling of 12149419128 in words is "twelve billion, one hundred forty-nine million, four hundred nineteen thousand, one hundred twenty-eight".