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1000012120120 = 235132178701811
BaseRepresentation
bin11101000110101010101…
…11100000000000111000
310112121012120020012011101
432203111113200000320
5112341011100320440
62043222122141144
7132151142525446
oct16432527400070
93477176205141
101000012120120
11356114853a22
121419860517b4
13733ba950400
1436587cbdb96
151b02c85c69a
hexe8d55e0038

1000012120120 has 96 divisors (see below), whose sum is σ = 2579739185520. Its totient is φ = 347515484160.

The previous prime is 1000012120099. The next prime is 1000012120141. The reversal of 1000012120120 is 210212100001.

It is an interprime number because it is at equal distance from previous prime (1000012120099) and next prime (1000012120141).

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 = 1000012120097 and 1000012120106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4235986 + ... + 4465825.

Almost surely, 21000012120120 is an apocalyptic number.

1000012120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012120120 is an abundant number, since it is smaller than the sum of its proper divisors (1579727065400).

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

1000012120120 is a wasteful number, since it uses less digits than its factorization.

1000012120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701865 (or 8701848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000012120120 its reverse (210212100001), we get a palindrome (1210224220121).

The spelling of 1000012120120 in words is "one trillion, twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 884 1105 1352 1690 1768 2210 2873 3380 4420 5746 6760 8840 11492 14365 22984 28730 57460 114920 8701811 17403622 34807244 43509055 69614488 87018110 113123543 147930787 174036220 226247086 295861574 348072440 452494172 565617715 591723148 739653935 904988344 1131235430 1183446296 1470606059 1479307870 1923100231 2262470860 2941212118 2958615740 3846200462 4524941720 5882424236 5917231480 7353030295 7692400924 9615501155 11764848472 14706060590 15384801848 19231002310 25000303003 29412121180 38462004620 50000606006 58824242360 76924009240 100001212012 125001515015 200002424024 250003030030 500006060060 1000012120120