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12100440 = 23351189103
BaseRepresentation
bin101110001010…
…001101011000
3211202202200110
4232022031120
511044203230
61111204320
7204565152
oct56121530
924682613
1012100440
116915270
1240766a0
132678931
14186dad2
1510e04b0
hexb8a358

12100440 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 2872320.

The previous prime is 12100411. The next prime is 12100441. The reversal of 12100440 is 4400121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117429 + ... + 117531.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 212100440 is an apocalyptic number.

12100440 is a gapful number since it is divisible by the number (10) 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 12100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12100440 is an abundant number, since it is smaller than the sum of its proper divisors (28334760).

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

12100440 is a wasteful number, since it uses less digits than its factorization.

12100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12100440 is about 3478.5686711635. The cubic root of 12100440 is about 229.5798251849.

Adding to 12100440 its reverse (4400121), we get a palindrome (16500561).

The spelling of 12100440 in words is "twelve million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 103 110 120 132 165 178 206 220 264 267 309 330 356 412 440 445 515 534 618 660 712 824 890 979 1030 1068 1133 1236 1320 1335 1545 1780 1958 2060 2136 2266 2472 2670 2937 3090 3399 3560 3916 4120 4532 4895 5340 5665 5874 6180 6798 7832 9064 9167 9790 10680 11330 11748 12360 13596 14685 16995 18334 19580 22660 23496 27192 27501 29370 33990 36668 39160 45320 45835 55002 58740 67980 73336 91670 100837 110004 117480 135960 137505 183340 201674 220008 275010 302511 366680 403348 504185 550020 605022 806696 1008370 1100040 1210044 1512555 2016740 2420088 3025110 4033480 6050220 12100440