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12401712 = 2432711213
BaseRepresentation
bin101111010011…
…110000110000
3212100001221200
4233103300300
511133323322
61121451200
7210261411
oct57236060
925301850
1012401712
117000654
1241a0b00
132752abb
14190b808
15114e8ac
hexbd3c30

12401712 has 60 divisors (see below), whose sum is σ = 35225424. Its totient is φ = 4072320.

The previous prime is 12401671. The next prime is 12401713. The reversal of 12401712 is 21710421.

12401712 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 (18).

It is not an unprimeable number, because it can be changed into a prime (12401713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9618 + ... + 10830.

Almost surely, 212401712 is an apocalyptic number.

12401712 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 12401712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612712).

12401712 is an abundant number, since it is smaller than the sum of its proper divisors (22823712).

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

12401712 is a wasteful number, since it uses less digits than its factorization.

12401712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12401712 is about 3521.6064516070. The cubic root of 12401712 is about 231.4695570497.

The spelling of 12401712 in words is "twelve million, four hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1213 1278 1704 2426 2556 3408 3639 4852 5112 7278 9704 10224 10917 14556 19408 21834 29112 43668 58224 86123 87336 172246 174672 258369 344492 516738 688984 775107 1033476 1377968 1550214 2066952 3100428 4133904 6200856 12401712