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1212112231020 = 2232519836942349
BaseRepresentation
bin10001101000110111100…
…001001101101001101100
311021212200012000012100100
4101220313201031221230
5124324401212343040
62324500415431100
7153400161652635
oct21506741155154
94255605005310
101212112231020
11428065833579
12176ab9b25490
138a3bca86202
1442948ddc88c
15217e3229b30
hex11a3784da6c

1212112231020 has 144 divisors (see below), whose sum is σ = 3870806940000. Its totient is φ = 306174007296.

The previous prime is 1212112230961. The next prime is 1212112231037. The reversal of 1212112231020 is 201322112121.

1212112231020 is a `hidden beast` number, since 1 + 212 + 1 + 122 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1212112230984 and 1212112231002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600806 + ... + 28643154.

It is an arithmetic number, because the mean of its divisors is an integer number (26880603750).

Almost surely, 21212112231020 is an apocalyptic number.

1212112231020 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 1212112231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935403470000).

1212112231020 is an abundant number, since it is smaller than the sum of its proper divisors (2658694708980).

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

1212112231020 is a wasteful number, since it uses less digits than its factorization.

1212112231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50752 (or 50747 counting only the distinct ones).

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

Adding to 1212112231020 its reverse (201322112121), we get a palindrome (1413434343141).

The spelling of 1212112231020 in words is "one trillion, two hundred twelve billion, one hundred twelve million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8369 16738 25107 33476 41845 42349 50214 75321 83690 84698 100428 125535 127047 150642 159011 167380 169396 211745 251070 254094 301284 318022 376605 381141 423490 477033 502140 508188 635235 636044 753210 762282 795055 804631 846980 954066 1270470 1431099 1506420 1524564 1590110 1609262 1905705 1908132 2385165 2413893 2540940 2862198 3180220 3218524 3811410 4023155 4770330 4827786 5724396 7155495 7241679 7622820 8046310 9540660 9655572 12069465 14310990 14483358 16092620 24138930 28621980 28966716 36208395 48277860 72416790 144833580 354418781 708837562 1063256343 1417675124 1772093905 2126512686 3189769029 3544187810 4253025372 5316281715 6379538058 6733956839 7088375620 10632563430 12759076116 13467913678 15948845145 20201870517 21265126860 26935827356 31897690290 33669784195 40403741034 60605611551 63795380580 67339568390 80807482068 101009352585 121211223102 134679136780 202018705170 242422446204 303028057755 404037410340 606056115510 1212112231020