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30122012211012 = 223217432714223717
BaseRepresentation
bin1101101100101010100111…
…10101100111011101000100
310221122122011211012021120100
412312111103311213131010
512422004340111223022
6144021510020204100
76226146354152061
oct666252365473504
9127578154167510
1030122012211012
119663745683087
123465a20b39630
1313a6655487a07
14761cada49c68
153738217551ac
hex1b6553d67744

30122012211012 has 144 divisors (see below), whose sum is σ = 82800010605312. Its totient is φ = 9196212372480.

The previous prime is 30122012211001. The next prime is 30122012211013. The reversal of 30122012211012 is 21011221022103.

30122012211012 is a `hidden beast` number, since 301 + 220 + 1 + 22 + 110 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30122012211013) 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, 5019778 + ... + 9243494.

It is an arithmetic number, because the mean of its divisors is an integer number (575000073648).

Almost surely, 230122012211012 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 30122012211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400005302656).

30122012211012 is an abundant number, since it is smaller than the sum of its proper divisors (52677998394300).

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

30122012211012 is a wasteful number, since it uses less digits than its factorization.

30122012211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224058 (or 4224053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 30122012211012 its reverse (21011221022103), we get a palindrome (51133233233115).

The spelling of 30122012211012 in words is "thirty trillion, one hundred twenty-two billion, twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 271 306 387 516 542 612 731 774 813 1084 1462 1548 1626 2193 2439 2924 3252 4386 4607 4878 6579 8772 9214 9756 11653 13158 13821 18428 23306 26316 27642 34959 41463 46612 55284 69918 82926 104877 139836 165852 198101 209754 396202 419508 594303 792404 1188606 1782909 2377212 3565818 4223717 7131636 8447434 12671151 16894868 25342302 38013453 50684604 71803189 76026906 143606378 152053812 181619831 215409567 287212756 363239662 430819134 544859493 646228701 726479324 861638268 1089718986 1144627307 1292457402 1634578479 2179437972 2289254614 2584914804 3087537127 3269156958 3433881921 4578509228 6175074254 6538313916 6867763842 9262611381 10301645763 12350148508 13735527684 18525222762 19458664219 20603291526 27787834143 37050445524 38917328438 41206583052 49218974201 55575668286 58375992657 77834656876 98437948402 111151336572 116751985314 147656922603 175127977971 196875896804 233503970628 295313845206 350255955942 442970767809 590627690412 700511911884 836722561417 885941535618 1673445122834 1771883071236 2510167684251 3346890245668 5020335368502 7530503052753 10040670737004 15061006105506 30122012211012