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120021112120 = 23571356475839
BaseRepresentation
bin110111111000111010…
…0001101010100111000
3102110210110220012212211
41233301310031110320
53431300401041440
6131045324544504
711446143422530
oct1576164152470
9373713805784
10120021112120
114699a874a58
121b3169b2134
13b419699a50
145b480804c0
1531c6c75eea
hex1bf1d0d538

120021112120 has 128 divisors (see below), whose sum is σ = 332481945600. Its totient is φ = 37971472896.

The previous prime is 120021112111. The next prime is 120021112147. The reversal of 120021112120 is 21211120021.

It is a super-2 number, since 2×1200211121202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 120021112120.

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, 20552161 + ... + 20557999.

It is an arithmetic number, because the mean of its divisors is an integer number (2597515200).

Almost surely, 2120021112120 is an apocalyptic number.

120021112120 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 120021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166240972800).

120021112120 is an abundant number, since it is smaller than the sum of its proper divisors (212460833480).

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

120021112120 is a wasteful number, since it uses less digits than its factorization.

120021112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11517 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120021112120 its reverse (21211120021), we get a palindrome (141232232141).

The spelling of 120021112120 in words is "one hundred twenty billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 5647 5839 11294 11678 22588 23356 28235 29195 39529 40873 45176 46712 56470 58390 73411 75907 79058 81746 112940 116780 146822 151814 158116 163492 197645 204365 225880 233560 293644 303628 316232 326984 367055 379535 395290 408730 513877 531349 587288 607256 734110 759070 790580 817460 1027754 1062698 1468220 1518140 1581160 1634920 2055508 2125396 2569385 2656745 2936440 3036280 4111016 4250792 5138770 5313490 10277540 10626980 20555080 21253960 32972833 65945666 131891332 164864165 230809831 263782664 329728330 428646829 461619662 659456660 857293658 923239324 1154049155 1318913320 1714587316 1846478648 2143234145 2308098310 3000527803 3429174632 4286468290 4616196620 6001055606 8572936580 9232393240 12002111212 15002639015 17145873160 24004222424 30005278030 60010556060 120021112120