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12011111210021 = 7112347123733037
BaseRepresentation
bin1010111011001000111000…
…0001000101110000100101
31120112020202222210001111112
42232302032001011300211
53033242223432210041
641313454525514405
72346526350516560
oct256621601056045
946466688701445
1012011111210021
11391097a170400
12141ba00a12a05
13691848684281
142d74ab55b4d7
1515c68362adeb
hexaec8e045c25

12011111210021 has 48 divisors (see below), whose sum is σ = 15144511363968. Its totient is φ = 9324508786560.

The previous prime is 12011111209987. The next prime is 12011111210041. The reversal of 12011111210021 is 12001211111021.

It is not a de Polignac number, because 12011111210021 - 230 = 12010037468197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011111209978 and 12011111210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011111210041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363548915 + ... + 363581951.

It is an arithmetic number, because the mean of its divisors is an integer number (315510653416).

Almost surely, 212011111210021 is an apocalyptic number.

12011111210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011111210021 is a deficient number, since it is larger than the sum of its proper divisors (3133400153947).

12011111210021 is a wasteful number, since it uses less digits than its factorization.

12011111210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34650 (or 34639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12011111210021 its reverse (12001211111021), we get a palindrome (24012322321042).

The spelling of 12011111210021 in words is "twelve trillion, eleven billion, one hundred eleven million, two hundred ten thousand, twenty-one".

Divisors: 1 7 11 77 121 347 847 1237 2429 3817 8659 13607 26719 33037 41987 95249 149677 231259 293909 363407 429239 1047739 2543849 3004673 3997477 4721629 11463839 27982339 33051403 40866769 51937919 80246873 126102229 286067383 363565433 449534459 882715603 1387124519 3146741213 4944879049 9709871633 14180768843 34614153343 99265381901 155988457273 1091919200911 1715873030003 12011111210021