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12012000020020 = 22571113600000001
BaseRepresentation
bin1010111011001100001011…
…1111101000011000110100
31120112100001221020021121101
42232303002333220120310
53033301034001120040
641314123040055444
72346560362341430
oct256630277503064
946470057207541
1012012000020020
11391129594a520
12142000a604584
1369195a860550
142d75536039c0
1515c6d669709a
hexaecc2fe8634

12012000020020 has 96 divisors (see below), whose sum is σ = 33868800112896. Its totient is φ = 3456000000000.

The previous prime is 12012000019961. The next prime is 12012000020039. The reversal of 12012000020020 is 2002000021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12012000019979 and 12012000020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299979981 + ... + 300020020.

It is an arithmetic number, because the mean of its divisors is an integer number (352800001176).

Almost surely, 212012000020020 is an apocalyptic number.

12012000020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012000020020 is an abundant number, since it is smaller than the sum of its proper divisors (21856800092876).

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

12012000020020 is a wasteful number, since it uses less digits than its factorization.

12012000020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600000041 (or 600000039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12012000020020 its reverse (2002000021021), we get a palindrome (14014000041041).

The spelling of 12012000020020 in words is "twelve trillion, twelve billion, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 600000001 1200000002 2400000004 3000000005 4200000007 6000000010 6600000011 7800000013 8400000014 12000000020 13200000022 15600000026 16800000028 21000000035 26400000044 31200000052 33000000055 39000000065 42000000070 46200000077 54600000091 66000000110 78000000130 84000000140 85800000143 92400000154 109200000182 132000000220 156000000260 171600000286 184800000308 218400000364 231000000385 273000000455 343200000572 429000000715 462000000770 546000000910 600600001001 858000001430 924000001540 1092000001820 1201200002002 1716000002860 2402400004004 3003000005005 6006000010010 12012000020020