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12010021116 = 22331531075693
BaseRepresentation
bin10110010111101101…
…00110000011111100
31010222222222021201220
423023312212003330
5144044031133431
65303424233340
7603422331552
oct131366460374
933888867656
1012010021116
115103386695
1223b216b850
131195262b92
1481d0a9bd2
154a459eb96
hex2cbda60fc

12010021116 has 96 divisors (see below), whose sum is σ = 29753837568. Its totient is φ = 3764916480.

The previous prime is 12010021043. The next prime is 12010021151. The reversal of 12010021116 is 61112001021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12010021095 and 12010021104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106766 + ... + 2112458.

It is an arithmetic number, because the mean of its divisors is an integer number (309935808).

Almost surely, 212010021116 is an apocalyptic number.

It is an amenable number.

12010021116 is an abundant number, since it is smaller than the sum of its proper divisors (17743816452).

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

12010021116 is a wasteful number, since it uses less digits than its factorization.

12010021116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12010021116 its reverse (61112001021), we get a palindrome (73122022137).

The spelling of 12010021116 in words is "twelve billion, ten million, twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 31 53 62 93 106 107 124 159 186 212 214 318 321 372 428 636 642 1284 1643 3286 3317 4929 5671 5693 6572 6634 9858 9951 11342 11386 13268 17013 17079 19716 19902 22684 22772 34026 34158 39804 68052 68316 175801 176483 301729 351602 352966 527403 529449 603458 609151 703204 705932 905187 1054806 1058898 1206916 1218302 1810374 1827453 2109612 2117796 2436604 3620748 3654906 7309812 9353599 18707198 18883681 28060797 32285003 37414396 37767362 56121594 56651043 64570006 75534724 96855009 112243188 113302086 129140012 193710018 226604172 387420036 1000835093 2001670186 3002505279 4003340372 6005010558 12010021116