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12106076712177 = 372382130529039
BaseRepresentation
bin1011000000101010101001…
…1001101110110011110001
31120212022220022010102001010
42300022222121232303301
53041321221114242202
641425242130101133
72356430603130030
oct260125231566361
946768808112033
1012106076712177
113948181776788
1214362a471a7a9
1369a7a1146ab6
142dbd19ada717
1515ed9089776c
hexb02aa66ecf1

12106076712177 has 32 divisors (see below), whose sum is σ = 19272860835840. Its totient is φ = 6608926146240.

The previous prime is 12106076712157. The next prime is 12106076712179. The reversal of 12106076712177 is 77121767060121.

It is a happy number.

12106076712177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12106076712177 - 26 = 12106076712113 is a prime.

It is a super-2 number, since 2×121060767121772 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12106076712179) 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, 14867977 + ... + 15661062.

It is an arithmetic number, because the mean of its divisors is an integer number (602276901120).

Almost surely, 212106076712177 is an apocalyptic number.

It is an amenable number.

12106076712177 is a deficient number, since it is larger than the sum of its proper divisors (7166784123663).

12106076712177 is a wasteful number, since it uses less digits than its factorization.

12106076712177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30529893.

The product of its (nonzero) digits is 345744, while the sum is 48.

The spelling of 12106076712177 in words is "twelve trillion, one hundred six billion, seventy-six million, seven hundred twelve thousand, one hundred seventy-seven".

Divisors: 1 3 7 21 23 69 161 483 821 2463 5747 17241 18883 56649 132181 396543 30529039 91587117 213703273 641109819 702167897 2106503691 4915175279 14745525837 25064341019 75193023057 175450387133 526351161399 576479843437 1729439530311 4035358904059 12106076712177