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120100110012 = 223245767310847
BaseRepresentation
bin110111111011010000…
…1100011111010111100
3102110222222112201121200
41233312201203322330
53431431112010022
6131101230055500
711451123043221
oct1576641437274
9373888481550
10120100110012
1146a30421273
121b33934a590
13b42cb68c6c
145b54765948
1531cdb7cbac
hex1bf6863ebc

120100110012 has 72 divisors (see below), whose sum is σ = 304730864256. Its totient is φ = 39882737664.

The previous prime is 120100109993. The next prime is 120100110019. The reversal of 120100110012 is 210011001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100109976 and 120100110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100110019) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11066773 + ... + 11077619.

Almost surely, 2120100110012 is an apocalyptic number.

120100110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100110012 is an abundant number, since it is smaller than the sum of its proper divisors (184630754244).

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

120100110012 is a wasteful number, since it uses less digits than its factorization.

120100110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100110012 its reverse (210011001021), we get a palindrome (330111111033).

The spelling of 120100110012 in words is "one hundred twenty billion, one hundred million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 457 673 914 1346 1371 1828 2019 2692 2742 4038 4113 5484 6057 8076 8226 10847 12114 16452 21694 24228 32541 43388 65082 97623 130164 195246 307561 390492 615122 922683 1230244 1845366 2768049 3690732 4957079 5536098 7300031 9914158 11072196 14600062 14871237 19828316 21900093 29200124 29742474 43800186 44613711 59484948 65700279 87600372 89227422 131400558 178454844 262801116 3336114167 6672228334 10008342501 13344456668 20016685002 30025027503 40033370004 60050055006 120100110012