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12010002000012 = 22321844318088769
BaseRepresentation
bin1010111011000100101111…
…1001110010100010001100
31120112010220200121100102100
42232301023321302202030
53033232441003000022
641313152503355100
72346460021424262
oct256611371624214
946463820540370
1012010002000012
113910460035515
12141b751452a90
136916cc92a4a3
142d7404102432
1515c61b0761ac
hexaec4be7288c

12010002000012 has 36 divisors (see below), whose sum is σ = 30360263923080. Its totient is φ = 4003116713472.

The previous prime is 12010001999953. The next prime is 12010002000083. The reversal of 12010002000012 is 21000020001021.

12010002000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12010001999958 and 12010002000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8380437 + ... + 9708332.

It is an arithmetic number, because the mean of its divisors is an integer number (843340664530).

Almost surely, 212010002000012 is an apocalyptic number.

12010002000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010002000012 is an abundant number, since it is smaller than the sum of its proper divisors (18350261923068).

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

12010002000012 is a wasteful number, since it uses less digits than its factorization.

12010002000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18107222 (or 18107217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010002000012 its reverse (21000020001021), we get a palindrome (33010022001033).

The spelling of 12010002000012 in words is "twelve trillion, ten billion, two million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36 18443 36886 55329 73772 110658 165987 221316 331974 663948 18088769 36177538 54266307 72355076 108532614 162798921 217065228 325597842 651195684 333611166667 667222333334 1000833500001 1334444666668 2001667000002 3002500500003 4003334000004 6005001000006 12010002000012