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12011022520 = 2357192299859
BaseRepresentation
bin10110010111110100…
…11010100010111000
31011000001212011101221
423023322122202320
5144044310210040
65303501521424
7603434002240
oct131372324270
934001764357
1012011022520
1151039aaaa2
1223b2573274
131195523923
1481d28ab20
154a46eb74a
hex2cbe9a8b8

12011022520 has 128 divisors (see below), whose sum is σ = 32656320000. Its totient is φ = 3883894272.

The previous prime is 12011022497. The next prime is 12011022521. The reversal of 12011022520 is 2522011021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12011022494 and 12011022503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011022521) 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, 1213351 + ... + 1223209.

It is an arithmetic number, because the mean of its divisors is an integer number (255127500).

Almost surely, 212011022520 is an apocalyptic number.

12011022520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011022520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328160000).

12011022520 is an abundant number, since it is smaller than the sum of its proper divisors (20645297480).

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

12011022520 is a wasteful number, since it uses less digits than its factorization.

12011022520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12011022520 its reverse (2522011021), we get a palindrome (14533033541).

The spelling of 12011022520 in words is "twelve billion, eleven million, twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 229 266 280 380 458 532 665 760 916 1064 1145 1330 1603 1832 2290 2660 3206 4351 4580 5320 6412 8015 8702 9160 9859 12824 16030 17404 19718 21755 30457 32060 34808 39436 43510 49295 60914 64120 69013 78872 87020 98590 121828 138026 152285 174040 187321 197180 243656 276052 304570 345065 374642 394360 552104 609140 690130 749284 936605 1218280 1311247 1380260 1498568 1873210 2257711 2622494 2760520 3746420 4515422 5244988 6556235 7492840 9030844 10489976 11288555 13112470 15803977 18061688 22577110 26224940 31607954 42896509 45154220 52449880 63215908 79019885 85793018 90308440 126431816 158039770 171586036 214482545 300275563 316079540 343172072 428965090 600551126 632159080 857930180 1201102252 1501377815 1715860360 2402204504 3002755630 6005511260 12011022520