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12211200021012 = 22319232328604123
BaseRepresentation
bin1011000110110010010000…
…1111010101001000010100
31121020101020112011210202220
42301230210033111020110
53100032014201133022
641545425311302340
72400141630405006
oct261544417251024
947211215153686
1012211200021012
113988817080613
12145274221a9b0
136a76851ca115
1430304d35a376
1516299479485c
hexb1b243d5214

12211200021012 has 48 divisors (see below), whose sum is σ = 31296439426560. Its totient is φ = 3688508929248.

The previous prime is 12211200020933. The next prime is 12211200021017. The reversal of 12211200021012 is 21012000211221.

It is a super-2 number, since 2×122112000210122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211200020982 and 12211200021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211200021017) 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 15 ways as a sum of consecutive naturals, for example, 1164296818 + ... + 1164307305.

It is an arithmetic number, because the mean of its divisors is an integer number (652009154720).

Almost surely, 212211200021012 is an apocalyptic number.

12211200021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211200021012 is an abundant number, since it is smaller than the sum of its proper divisors (19085239405548).

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

12211200021012 is a wasteful number, since it uses less digits than its factorization.

12211200021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328604172 (or 2328604170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211200021012 its reverse (21012000211221), we get a palindrome (33223200232233).

The spelling of 12211200021012 in words is "twelve trillion, two hundred eleven billion, two hundred million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 2328604123 4657208246 6985812369 9314416492 13971624738 27943249476 44243478337 53557894829 88486956674 107115789658 132730435011 160673684487 176973913348 214231579316 265460870022 321347368974 530921740044 642694737948 1017600001751 2035200003502 3052800005253 4070400007004 6105600010506 12211200021012