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12010101022120 = 2352235891342877
BaseRepresentation
bin1010111011000101000111…
…0011100001110110101000
31120112011011120221012012211
42232301101303201312220
53033233141330201440
641313210402014504
72346462333204415
oct256612163416650
946464146835184
1012010101022120
113910500a19273
12141b77a647434
136917172bab56
142d741331b10c
1515c624ad5eea
hexaec51ce1da8

12010101022120 has 32 divisors (see below), whose sum is σ = 27022868281800. Its totient is φ = 4804015345408.

The previous prime is 12010101022111. The next prime is 12010101022177. The reversal of 12010101022120 is 2122010101021.

12010101022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9192866336676 + 2817234685444 = 3031974^2 + 1678462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12010101022120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8272122 + ... + 9614998.

Almost surely, 212010101022120 is an apocalyptic number.

12010101022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010101022120 is an abundant number, since it is smaller than the sum of its proper divisors (15012767259680).

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

12010101022120 is a wasteful number, since it uses less digits than its factorization.

12010101022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566477 (or 1566473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12010101022120 its reverse (2122010101021), we get a palindrome (14132111123141).

The spelling of 12010101022120 in words is "twelve trillion, ten billion, one hundred one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 223589 447178 894356 1117945 1342877 1788712 2235890 2685754 4471780 5371508 6714385 8943560 10743016 13428770 26857540 53715080 300252525553 600505051106 1201010102212 1501262627765 2402020204424 3002525255530 6005050511060 12010101022120