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12203745372 = 223272131937757
BaseRepresentation
bin10110101110110011…
…00110000001011100
31011111111111111110100
423113121212001130
5144443124322442
65334544341100
7611264060400
oct132731460134
934444444410
1012203745372
1151a2772585
122447014790
1311c6430810
1483aad7100
154b65b984c
hex2d766605c

12203745372 has 432 divisors, whose sum is σ = 41833777440. Its totient is φ = 2962842624.

The previous prime is 12203745361. The next prime is 12203745373. The reversal of 12203745372 is 27354730221.

12203745372 is a `hidden beast` number, since 12 + 203 + 74 + 5 + 372 = 666.

12203745372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122037453722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203745373) 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 143 ways as a sum of consecutive naturals, for example, 16120818 + ... + 16121574.

Almost surely, 212203745372 is an apocalyptic number.

12203745372 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 12203745372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916888720).

12203745372 is an abundant number, since it is smaller than the sum of its proper divisors (29630032068).

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

12203745372 is a wasteful number, since it uses less digits than its factorization.

12203745372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12203745372 in words is "twelve billion, two hundred three million, seven hundred forty-five thousand, three hundred seventy-two".