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12130880076 = 22327792572371
BaseRepresentation
bin10110100110000111…
…01000101001001100
31011022102101120001200
423103003220221030
5144321001130301
65323422505500
7606420531210
oct132303505114
934272346050
1012130880076
115165624827
122426735290
1311b42caa63
1483116a940
154aeec4c86
hex2d30e8a4c

12130880076 has 144 divisors (see below), whose sum is σ = 35641482240. Its totient is φ = 3407339520.

The previous prime is 12130880071. The next prime is 12130880101. The reversal of 12130880076 is 67008803121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12130880076.

It is not an unprimeable number, because it can be changed into a prime (12130880071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5115171 + ... + 5117541.

Almost surely, 212130880076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130880076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820741120).

12130880076 is an abundant number, since it is smaller than the sum of its proper divisors (23510602164).

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

12130880076 is a wasteful number, since it uses less digits than its factorization.

12130880076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12130880076 in words is "twelve billion, one hundred thirty million, eight hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 257 316 474 514 553 711 771 948 1028 1106 1422 1542 1659 1799 2212 2313 2371 2844 3084 3318 3598 4626 4742 4977 5397 6636 7113 7196 9252 9484 9954 10794 14226 16191 16597 19908 20303 21339 21588 28452 32382 33194 40606 42678 49791 60909 64764 66388 81212 85356 99582 121818 142121 149373 182727 187309 199164 243636 284242 298746 365454 374618 426363 561927 568484 597492 609347 730908 749236 852726 1123854 1218694 1279089 1311163 1685781 1705452 1828041 2247708 2437388 2558178 2622326 3371562 3656082 3933489 4265429 5116356 5244652 5484123 6743124 7312164 7866978 8530858 10968246 11800467 12796287 15733956 17061716 21936492 23600934 25592574 38388861 47201868 48138413 51185148 76777722 96276826 144415239 153555444 192553652 288830478 336968891 433245717 577660956 673937782 866491434 1010906673 1347875564 1732982868 2021813346 3032720019 4043626692 6065440038 12130880076