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120211211120 = 245711131501139
BaseRepresentation
bin110111111110100100…
…1011000001101110000
3102111021201121020200112
41233331021120031300
53432143032223440
6131120235240452
711453642302160
oct1577511301560
9374251536615
10120211211120
1146a88105170
121b36a5a9128
13b449b98570
145b654065a0
1531d87c6965
hex1bfd258370

120211211120 has 160 divisors (see below), whose sum is σ = 375260981760. Its totient is φ = 34586219520.

The previous prime is 120211211077. The next prime is 120211211137. The reversal of 120211211120 is 21112112021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120211211095 and 120211211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670490 + ... + 830649.

It is an arithmetic number, because the mean of its divisors is an integer number (2345381136).

Almost surely, 2120211211120 is an apocalyptic number.

120211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211211120 is an abundant number, since it is smaller than the sum of its proper divisors (255049770640).

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

120211211120 is a wasteful number, since it uses less digits than its factorization.

120211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501183 (or 1501177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211211120 its reverse (21112112021), we get a palindrome (141323323141).

Subtracting from 120211211120 its reverse (21112112021), we obtain a palindrome (99099099099).

The spelling of 120211211120 in words is "one hundred twenty billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 1501139 3002278 6004556 7505695 10507973 12009112 15011390 16512529 19514807 21015946 24018224 30022780 33025058 39029614 42031892 52539865 60045560 66050116 78059228 82562645 84063784 97574035 105079730 115587703 120091120 132100232 136603649 156118456 165125290 168127568 195148070 210159460 214662877 231175406 264200464 273207298 312236912 330250580 390296140 420318920 429325754 462350812 546414596 577938515 660501160 683018245 780592280 840637840 858651508 924701624 1073314385 1092829192 1155877030 1321002320 1366036490 1502640139 1561184560 1717303016 1849403248 2146628770 2185658384 2311754060 2732072980 3005280278 3434606032 4293257540 4623508120 5464145960 6010560556 7513200695 8586515080 9247016240 10928291920 12021121112 15026401390 17173030160 24042242224 30052802780 60105605560 120211211120