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129921120 = 25325712889
BaseRepresentation
bin1111011111001…
…11000001100000
3100001110200021100
413233213001200
5231224433440
620520354400
73135211530
oct757470140
9301420240
10129921120
116737872a
1237615a00
1320bbb904
141337d4c0
15b615230
hex7be7060

129921120 has 144 divisors (see below), whose sum is σ = 506731680. Its totient is φ = 29693952.

The previous prime is 129921119. The next prime is 129921139. The reversal of 129921120 is 21129921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (3518970).

Almost surely, 2129921120 is an apocalyptic number.

129921120 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 129921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253365840).

129921120 is an abundant number, since it is smaller than the sum of its proper divisors (376810560).

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

129921120 is a wasteful number, since it uses less digits than its factorization.

129921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 129921120 is about 11398.2946092826. The cubic root of 129921120 is about 506.4772221881.

The spelling of 129921120 in words is "one hundred twenty-nine million, nine hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 12889 25778 38667 51556 64445 77334 90223 103112 116001 128890 154668 180446 193335 206224 232002 257780 270669 309336 360892 386670 412448 451115 464004 515560 541338 580005 618672 721784 773340 812007 902230 928008 1031120 1082676 1160010 1237344 1353345 1443568 1546680 1624014 1804460 1856016 2062240 2165352 2320020 2706690 2887136 3093360 3248028 3608920 3712032 4060035 4330704 4640040 5413380 6186720 6496056 7217840 8120070 8661408 9280080 10826760 12992112 14435680 16240140 18560160 21653520 25984224 32480280 43307040 64960560 129921120