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12012001120020 = 22351119195287967
BaseRepresentation
bin1010111011001100001100…
…0011110100111100010100
31120112100002000022011112010
42232303003003310330110
53033301034241320040
641314123115424220
72346560404602426
oct256630303647424
946470060264463
1012012001120020
113911296530a10
12142000aa55070
1369195ab57135
142d755380c816
1515c6d6812e80
hexaecc30f4f14

12012001120020 has 96 divisors (see below), whose sum is σ = 36883304349696. Its totient is φ = 2896754166400.

The previous prime is 12012001120019. The next prime is 12012001120037. The reversal of 12012001120020 is 2002110021021.

12012001120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12012001119978 and 12012001120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47517924 + ... + 47770043.

It is an arithmetic number, because the mean of its divisors is an integer number (384201086976).

Almost surely, 212012001120020 is an apocalyptic number.

12012001120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012001120020 is an abundant number, since it is smaller than the sum of its proper divisors (24871303229676).

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

12012001120020 is a wasteful number, since it uses less digits than its factorization.

12012001120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95288181 (or 95288179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012001120020 its reverse (2002110021021), we get a palindrome (14014111141041).

The spelling of 12012001120020 in words is "twelve trillion, twelve billion, one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 191 220 330 382 573 660 764 955 1146 1910 2101 2292 2865 3820 4202 5730 6303 8404 10505 11460 12606 21010 25212 31515 42020 63030 126060 95287967 190575934 285863901 381151868 476439835 571727802 952879670 1048167637 1143455604 1429319505 1905759340 2096335274 2858639010 3144502911 4192670548 5240838185 5717278020 6289005822 10481676370 12578011644 15722514555 18200001697 20963352740 31445029110 36400003394 54600005091 62890058220 72800006788 91000008485 109200010182 182000016970 200200018667 218400020364 273000025455 364000033940 400400037334 546000050910 600600056001 800800074668 1001000093335 1092000101820 1201200112002 2002000186670 2402400224004 3003000280005 4004000373340 6006000560010 12012001120020