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120130120 = 235113747157
BaseRepresentation
bin1110010100100…
…00101001001000
322101001020112201
413022100221020
5221223130440
615530445544
72656042405
oct712205110
9271036481
10120130120
11618a05a0
12342938b4
131bb71216
1411d512ac
15a82e19a
hex7290a48

120130120 has 128 divisors (see below), whose sum is σ = 311247360. Its totient is φ = 41333760.

The previous prime is 120130117. The next prime is 120130121. The reversal of 120130120 is 21031021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120130097 and 120130106.

It is not an unprimeable number, because it can be changed into a prime (120130121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765082 + ... + 765238.

It is an arithmetic number, because the mean of its divisors is an integer number (2431620).

Almost surely, 2120130120 is an apocalyptic number.

120130120 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 120130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155623680).

120130120 is an abundant number, since it is smaller than the sum of its proper divisors (191117240).

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

120130120 is a wasteful number, since it uses less digits than its factorization.

120130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120130120 is about 10960.3886792394. The cubic root of 120130120 is about 493.4206301973.

Adding to 120130120 its reverse (21031021), we get a palindrome (141161141).

Subtracting from 120130120 its reverse (21031021), we obtain a palindrome (99099099).

The spelling of 120130120 in words is "one hundred twenty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 47 55 74 88 94 110 148 157 185 188 220 235 296 314 370 376 407 440 470 517 628 740 785 814 940 1034 1256 1480 1570 1628 1727 1739 1880 2035 2068 2585 3140 3256 3454 3478 4070 4136 5170 5809 6280 6908 6956 7379 8140 8635 8695 10340 11618 13816 13912 14758 16280 17270 17390 19129 20680 23236 29045 29516 34540 34780 36895 38258 46472 58090 59032 63899 69080 69560 73790 76516 81169 95645 116180 127798 147580 153032 162338 191290 232360 255596 273023 295160 319495 324676 382580 405845 511192 546046 638990 649352 765160 811690 1092092 1277980 1365115 1623380 2184184 2555960 2730230 3003253 3246760 5460460 6006506 10920920 12013012 15016265 24026024 30032530 60065060 120130120