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12100401180 = 22325719505447
BaseRepresentation
bin10110100010011110…
…10111100000011100
31011020022001001212200
423101033113200130
5144240200314210
65320413331500
7605600466360
oct132117274034
934208031780
1012100401180
11514a3a755a
122418496b90
1311aabb8aca
1482b0b52a0
154ac4a40c0
hex2d13d781c

12100401180 has 144 divisors (see below), whose sum is σ = 44155937280. Its totient is φ = 2620232064.

The previous prime is 12100401167. The next prime is 12100401191. The reversal of 12100401180 is 8110400121.

12100401180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 228784 + ... + 276663.

Almost surely, 212100401180 is an apocalyptic number.

12100401180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100401180 is an abundant number, since it is smaller than the sum of its proper divisors (32055536100).

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

12100401180 is a wasteful number, since it uses less digits than its factorization.

12100401180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505488 (or 505483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 12100401180 in words is "twelve billion, one hundred million, four hundred one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 505447 1010894 1516341 2021788 2527235 3032682 3538129 4549023 5054470 6065364 7076258 7581705 9098046 9603493 10108940 10614387 14152516 15163410 17690645 18196092 19206986 21228774 22745115 28810479 30326820 31843161 35381290 38413972 42457548 45490230 48017465 53071935 57620958 63686322 67224451 70762580 86431437 90980460 96034930 106143870 115241916 127372644 134448902 144052395 159215805 172862874 192069860 201673353 212287740 268897804 288104790 318431610 336122255 345725748 403346706 432157185 576209580 605020059 636863220 672244510 806693412 864314370 1008366765 1210040118 1344489020 1728628740 2016733530 2420080236 3025100295 4033467060 6050200590 12100401180