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1000012111120 = 245112353932221
BaseRepresentation
bin11101000110101010101…
…11011101110100010000
310112121012120012201211001
432203111113131310100
5112341011100023440
62043222122031344
7132151142460301
oct16432527356420
93477176181731
101000012111120
11356114848190
12141986048554
13733ba949299
1436587cba7a8
151b02c859b9a
hexe8d55ddd10

1000012111120 has 160 divisors (see below), whose sum is σ = 2696612477184. Its totient is φ = 341267097600.

The previous prime is 1000012111103. The next prime is 1000012111121. The reversal of 1000012111120 is 211112100001.

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 = 1000012111097 and 1000012111106.

It is not an unprimeable number, because it can be changed into a prime (1000012111121) 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, 606610 + ... + 1538830.

Almost surely, 21000012111120 is an apocalyptic number.

1000012111120 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 1000012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348306238592).

1000012111120 is an abundant number, since it is smaller than the sum of its proper divisors (1696600366064).

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

1000012111120 is a wasteful number, since it uses less digits than its factorization.

1000012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932321 (or 932315 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000012111120 its reverse (211112100001), we get a palindrome (1211124211121).

The spelling of 1000012111120 in words is "one trillion, twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 53 55 80 88 92 106 110 115 176 184 212 220 230 253 265 368 424 440 460 506 530 583 848 880 920 1012 1060 1166 1219 1265 1840 2024 2120 2332 2438 2530 2915 4048 4240 4664 4876 5060 5830 6095 9328 9752 10120 11660 12190 13409 19504 20240 23320 24380 26818 46640 48760 53636 67045 97520 107272 134090 214544 268180 536360 932221 1072720 1864442 3728884 4661105 7457768 9322210 10254431 14915536 18644420 20508862 21441083 37288840 41017724 42882166 49407713 51272155 74577680 82035448 85764332 98815426 102544310 107205415 164070896 171528664 197630852 205088620 214410830 235851913 247038565 343057328 395261704 410177240 428821660 471703826 494077130 543484843 790523408 820354480 857643320 943407652 988154260 1086969686 1136377399 1179259565 1715286640 1886815304 1976308520 2173939372 2272754798 2358519130 2717424215 3773630608 3952617040 4347878744 4545509596 4717038260 5434848430 5681886995 8695757488 9091019192 9434076520 10869696860 11363773990 12500151389 18182038384 18868153040 21739393720 22727547980 25000302778 43478787440 45455095960 50000605556 62500756945 90910191920 100001211112 125001513890 200002422224 250003027780 500006055560 1000012111120