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123300012132 = 22341152166403
BaseRepresentation
bin111001011010101000…
…0001110000001100100
3102210020222201121010000
41302311100032001210
54010004300342012
6132350535101300
711623326545013
oct1626520160144
9383228647100
10123300012132
1148322708080
121ba90b11830
13b81caa207b
145d79726a7a
153319a5bddc
hex1cb540e064

123300012132 has 120 divisors (see below), whose sum is σ = 352313593632. Its totient is φ = 37291363200.

The previous prime is 123300012131. The next prime is 123300012151. The reversal of 123300012132 is 231210003321.

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 (123300012131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1823643 + ... + 1890045.

Almost surely, 2123300012132 is an apocalyptic number.

123300012132 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 123300012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176156796816).

123300012132 is an abundant number, since it is smaller than the sum of its proper divisors (229013581500).

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

123300012132 is a wasteful number, since it uses less digits than its factorization.

123300012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66951 (or 66940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123300012132 its reverse (231210003321), we get a palindrome (354510015453).

The spelling of 123300012132 in words is "one hundred twenty-three billion, three hundred million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 521 594 891 1042 1188 1563 1782 2084 3126 3564 4689 5731 6252 9378 11462 14067 17193 18756 22924 28134 34386 42201 51579 56268 66403 68772 84402 103158 132806 154737 168804 199209 206316 265612 309474 398418 464211 597627 618948 730433 796836 928422 1195254 1460866 1792881 1856844 2191299 2390508 2921732 3585762 4382598 5378643 6573897 7171524 8765196 10757286 13147794 19721691 21514572 26295588 34595963 39443382 59165073 69191926 78886764 103787889 118330146 138383852 207575778 236660292 311363667 380555593 415151556 622727334 761111186 934091001 1141666779 1245454668 1522222372 1868182002 2283333558 2802273003 3425000337 3736364004 4566667116 5604546006 6850000674 10275001011 11209092012 13700001348 20550002022 30825003033 41100004044 61650006066 123300012132