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120021112112120 = 235171981111454451
BaseRepresentation
bin11011010010100010010111…
…110000001100001111111000
3120201221220110122221110012222
4123102202113300030033320
5111212411214200041440
61103132534314423212
734165145021161352
oct3322422760141770
9521856418843188
10120021112112120
113527373893055a
1211564a8b731b08
1351c7c333362cb
14218d0a4d280d2
15dd2057d4b2b5
hex6d2897c0c3f8

120021112112120 has 128 divisors (see below), whose sum is σ = 301352886777600. Its totient is φ = 42753505536000.

The previous prime is 120021112112051. The next prime is 120021112112147. The reversal of 120021112112120 is 21211211120021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4750895 + ... + 16205345.

It is an arithmetic number, because the mean of its divisors is an integer number (2354319427950).

Almost surely, 2120021112112120 is an apocalyptic number.

120021112112120 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 120021112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150676443388800).

120021112112120 is an abundant number, since it is smaller than the sum of its proper divisors (181331774665480).

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

120021112112120 is a wasteful number, since it uses less digits than its factorization.

120021112112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455309 (or 11455305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120021112112120 its reverse (21211211120021), we get a palindrome (141232323232141).

The spelling of 120021112112120 in words is "one hundred twenty trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 811 1292 1615 1622 2584 3230 3244 4055 6460 6488 8110 12920 13787 15409 16220 27574 30818 32440 55148 61636 68935 77045 110296 123272 137870 154090 261953 275740 308180 523906 551480 616360 1047812 1309765 2095624 2619530 5239060 10478120 11454451 22908902 45817804 57272255 91635608 114544510 194725667 217634569 229089020 389451334 435269138 458178040 778902668 870538276 973628335 1088172845 1557805336 1741076552 1947256670 2176345690 3699787673 3894513340 4352691380 7399575346 7789026680 8705382760 9289559761 14799150692 18498938365 18579119522 29598301384 36997876730 37158239044 46447798805 73995753460 74316478088 92895597610 147991506920 157922515937 176501635459 185791195220 315845031874 353003270918 371582390440 631690063748 706006541836 789612579685 882508177295 1263380127496 1412013083672 1579225159370 1765016354590 3000527802803 3158450318740 3530032709180 6001055605606 6316900637480 7060065418360 12002111211212 15002639014015 24004222422424 30005278028030 60010556056060 120021112112120