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12299757312 = 2831719179277
BaseRepresentation
bin10110111010001111…
…10110011100000000
31011202012011102002010
423131013312130000
5200142214213222
65352254252520
7613541132523
oct133507663400
934665142063
1012299757312
11524198a797
1224731b7140
1312102a900b
1484976abba
154bec3280c
hex2dd1f6700

12299757312 has 288 divisors, whose sum is σ = 36821433600. Its totient is φ = 3622109184.

The previous prime is 12299757277. The next prime is 12299757313. The reversal of 12299757312 is 21375799221.

12299757312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12299757313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44403318 + ... + 44403594.

It is an arithmetic number, because the mean of its divisors is an integer number (127852200).

Almost surely, 212299757312 is an apocalyptic number.

12299757312 is a gapful number since it is divisible by the number (12) 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 12299757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410716800).

12299757312 is an abundant number, since it is smaller than the sum of its proper divisors (24521676288).

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

12299757312 is a wasteful number, since it uses less digits than its factorization.

12299757312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The spelling of 12299757312 in words is "twelve billion, two hundred ninety-nine million, seven hundred fifty-seven thousand, three hundred twelve".