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12400004232 = 233671153521
BaseRepresentation
bin10111000110001100…
…10000110010001000
31012000011210111000000
423203012100302020
5200343400113412
65410235043000
7616166203560
oct134306206210
935004714000
1012400004232
11529352a790
1224a08a0460
131227ca8015
14858bc3da0
154c89354dc
hex2e3190c88

12400004232 has 448 divisors, whose sum is σ = 44365656960. Its totient is φ = 3153945600.

The previous prime is 12400004231. The next prime is 12400004233. The reversal of 12400004232 is 23240000421.

12400004232 is a `hidden beast` number, since 1 + 240 + 0 + 0 + 0 + 423 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12400004231) and next prime (12400004233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400004231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23800132 + ... + 23800652.

Almost surely, 212400004232 is an apocalyptic number.

12400004232 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 12400004232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182828480).

12400004232 is an abundant number, since it is smaller than the sum of its proper divisors (31965652728).

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

12400004232 is a wasteful number, since it uses less digits than its factorization.

12400004232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12400004232 its reverse (23240000421), we get a palindrome (35640004653).

The spelling of 12400004232 in words is "twelve billion, four hundred million, four thousand, two hundred thirty-two".