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12400061229 = 332693170539
BaseRepresentation
bin10111000110001100…
…11110101100101101
31012000011220101012000
423203012132230231
5200343403424404
65410240202513
7616166532003
oct134306365455
935004811160
1012400061229
115293569596
1224a0909439
131227cc7c4a
14858bdaa73
154c8947339
hex2e319eb2d

12400061229 has 16 divisors (see below), whose sum is σ = 18377390400. Its totient is φ = 8263589328.

The previous prime is 12400061221. The next prime is 12400061249. The reversal of 12400061229 is 92216000421.

12400061229 is a `hidden beast` number, since 1 + 2 + 40 + 0 + 0 + 612 + 2 + 9 = 666.

It is not a de Polignac number, because 12400061229 - 23 = 12400061221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400061221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12559 + ... + 157980.

It is an arithmetic number, because the mean of its divisors is an integer number (1148586900).

Almost surely, 212400061229 is an apocalyptic number.

It is an amenable number.

12400061229 is a deficient number, since it is larger than the sum of its proper divisors (5977329171).

12400061229 is a wasteful number, since it uses less digits than its factorization.

12400061229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173241 (or 173235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12400061229 in words is "twelve billion, four hundred million, sixty-one thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 2693 8079 24237 72711 170539 511617 1534851 4604553 459261527 1377784581 4133353743 12400061229