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120129660 = 223257671423
BaseRepresentation
bin1110010100100…
…00100001111100
322101001012220200
413022100201330
5221223122120
615530443500
72656041150
oct712204174
9271035820
10120129660
11618a0212
1234293590
131bb70c51
1411d51060
15a82de90
hex729087c

120129660 has 144 divisors (see below), whose sum is σ = 422962176. Its totient is φ = 27029376.

The previous prime is 120129617. The next prime is 120129661. The reversal of 120129660 is 66921021.

It is a super-2 number, since 2×1201296602 = 28862270423431200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120129661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83709 + ... + 85131.

Almost surely, 2120129660 is an apocalyptic number.

120129660 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 120129660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211481088).

120129660 is an abundant number, since it is smaller than the sum of its proper divisors (302832516).

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

120129660 is a wasteful number, since it uses less digits than its factorization.

120129660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120129660 is about 10960.3676945621. The cubic root of 120129660 is about 493.4200003975.

The spelling of 120129660 in words is "one hundred twenty million, one hundred twenty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1423 1876 2010 2345 2412 2814 2846 3015 4020 4221 4269 4690 5628 5692 6030 7035 7115 8442 8538 9380 9961 12060 12807 14070 14230 16884 17076 19922 21105 21345 25614 28140 28460 29883 39844 42210 42690 49805 51228 59766 64035 84420 85380 89649 95341 99610 119532 128070 149415 179298 190682 199220 256140 286023 298830 358596 381364 448245 476705 572046 597660 667387 858069 896490 953410 1144092 1334774 1430115 1716138 1792980 1906820 2002161 2669548 2860230 3336935 3432276 4004322 4290345 5720460 6006483 6673870 8008644 8580690 10010805 12012966 13347740 17161380 20021610 24025932 30032415 40043220 60064830 120129660