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12002012011101 = 374736754836043
BaseRepresentation
bin1010111010100110111110…
…1010011001101001011101
31120111101021212000212011010
42232221233222121221131
53033120110033323401
641305352002245433
72346055021561050
oct256515752315135
946441255025133
1012002012011101
11390802a9855a2
12141a0a1656879
13690a284b0cb8
142d6c86cc2a97
1515c2ee8a6ed6
hexaea6fa99a5d

12002012011101 has 64 divisors (see below), whose sum is σ = 18735312273408. Its totient is φ = 6691753199808.

The previous prime is 12002012011081. The next prime is 12002012011103. The reversal of 12002012011101 is 10111021020021.

It is not a de Polignac number, because 12002012011101 - 243 = 3205918988893 is a prime.

It is a super-3 number, since 3×120020120111013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012011103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986098586 + ... + 1986104628.

It is an arithmetic number, because the mean of its divisors is an integer number (292739254272).

Almost surely, 212002012011101 is an apocalyptic number.

It is an amenable number.

12002012011101 is a deficient number, since it is larger than the sum of its proper divisors (6733300262307).

12002012011101 is a wasteful number, since it uses less digits than its factorization.

12002012011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12002012011101 its reverse (10111021020021), we get a palindrome (22113033031122).

The spelling of 12002012011101 in words is "twelve trillion, two billion, twelve million, eleven thousand, one hundred one".

Divisors: 1 3 7 21 47 141 329 367 987 1101 2569 5483 6043 7707 16449 17249 18129 38381 42301 51747 115143 120743 126903 257701 284021 362229 773103 852063 1803907 1988147 2012261 2217781 5411721 5964441 6036783 6653343 14085827 15524467 33133769 42257481 46573401 94576267 99401307 104235707 231936383 283728801 312707121 662033869 695809149 729649949 1557287143 1986101607 2188949847 4671861429 10901010001 12160093223 32703030003 36480279669 85120652561 255361957683 571524381481 1714573144443 4000670670367 12002012011101