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12296996728128 = 263371924379829
BaseRepresentation
bin1011001011110001111000…
…0111110010110101000000
31121112120200211211010001000
42302330132013302311000
53102433222130300003
642053055020412000
72406300020364240
oct262743607626500
947476624733030
1012296996728128
113a11144086532
1214672a73a7000
136b27a925c938
1430726bd05b20
15164d16ae11a3
hexb2f1e1f2d40

12296996728128 has 1344 divisors, whose sum is σ = 45237586944000. Its totient is φ = 3206077894656.

The previous prime is 12296996728091. The next prime is 12296996728213. The reversal of 12296996728128 is 82182769969221.

12296996728128 is a `hidden beast` number, since 1 + 229 + 69 + 9 + 67 + 281 + 2 + 8 = 666.

12296996728128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×122969967281282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14833530018 + ... + 14833530846.

Almost surely, 212296996728128 is an apocalyptic number.

12296996728128 is a gapful number since it is divisible by the number (18) 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 12296996728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618793472000).

12296996728128 is an abundant number, since it is smaller than the sum of its proper divisors (32940590215872).

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

12296996728128 is a wasteful number, since it uses less digits than its factorization.

12296996728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 982 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 12296996728128 in words is "twelve trillion, two hundred ninety-six billion, nine hundred ninety-six million, seven hundred twenty-eight thousand, one hundred twenty-eight".