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120012201120 = 2535735717917
BaseRepresentation
bin110111111000101001…
…0001101110010100000
3102110202212010111021210
41233301102031302200
53431241110413440
6131044405550120
711446004610120
oct1576122156240
9373685114253
10120012201120
1146995838a99
121b313a15340
13b417899a76
145b46c00c80
1531c60b5a80
hex1bf148dca0

120012201120 has 96 divisors (see below), whose sum is σ = 432043936128. Its totient is φ = 27431359488.

The previous prime is 120012201107. The next prime is 120012201121. The reversal of 120012201120 is 21102210021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120012201096 and 120012201105.

It is not an unprimeable number, because it can be changed into a prime (120012201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17855599 + ... + 17862318.

It is an arithmetic number, because the mean of its divisors is an integer number (4500457668).

Almost surely, 2120012201120 is an apocalyptic number.

120012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012201120 is an abundant number, since it is smaller than the sum of its proper divisors (312031735008).

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

120012201120 is a wasteful number, since it uses less digits than its factorization.

120012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35717942 (or 35717934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012201120 its reverse (21102210021), we get a palindrome (141114411141).

The spelling of 120012201120 in words is "one hundred twenty billion, twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 35717917 71435834 107153751 142871668 178589585 214307502 250025419 285743336 357179170 428615004 500050838 535768755 571486672 714358340 750076257 857230008 1000101676 1071537510 1142973344 1250127095 1428716680 1500152514 1714460016 2000203352 2143075020 2500254190 2857433360 3000305028 3428920032 3750381285 4000406704 4286150040 5000508380 5714866720 6000610056 7500762570 8000813408 8572300080 10001016760 12001220112 15001525140 17144600160 20002033520 24002440224 30003050280 40004067040 60006100560 120012201120