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12011010020001 = 347910318223433
BaseRepresentation
bin1010111011001000011111…
…1111000101001010100001
31120112020111221101001220000
42232302013333011022201
53033242022031120001
641313440513010213
72346524011440126
oct256620777051241
946466457331800
1012011010020001
113910928036893
12141b992b53969
13691830714c15
142d749bd3a74d
1515c6797dda86
hexaec87fc52a1

12011010020001 has 40 divisors (see below), whose sum is σ = 18345895476480. Its totient is φ = 7829223749568.

The previous prime is 12011010019991. The next prime is 12011010020029. The reversal of 12011010020001 is 10002001011021.

It is a happy number.

It is not a de Polignac number, because 12011010020001 - 213 = 12011010011809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12011010020041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8452620 + ... + 9770813.

It is an arithmetic number, because the mean of its divisors is an integer number (458647386912).

Almost surely, 212011010020001 is an apocalyptic number.

It is an amenable number.

12011010020001 is a deficient number, since it is larger than the sum of its proper divisors (6334885456479).

12011010020001 is a wasteful number, since it uses less digits than its factorization.

12011010020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18223627 (or 18223618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011010020001 its reverse (10002001011021), we get a palindrome (22013011031022).

The spelling of 12011010020001 in words is "twelve trillion, eleven billion, ten million, twenty thousand, one".

Divisors: 1 3 9 27 79 81 103 237 309 711 927 2133 2781 6399 8137 8343 24411 73233 219699 659097 18223433 54670299 164010897 492032691 1439651207 1476098073 1877013599 4318953621 5631040797 12956860863 16893122391 38870582589 50679367173 116611747767 148284074321 152038101519 444852222963 1334556668889 4003670006667 12011010020001