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121112001021 = 31116723899199
BaseRepresentation
bin111000011001011010…
…1100111100111111101
3102120121111121010010110
41300302311213213331
53441014133013041
6131345454300233
711515161010614
oct1606265474775
9376544533113
10121112001021
11473aa626a30
121b5801b7679
13b5616aa63b
145c0ccca87b
15323c90c516
hex1c32d679fd

121112001021 has 32 divisors (see below), whose sum is σ = 177311232000. Its totient is φ = 72923215680.

The previous prime is 121112000939. The next prime is 121112001053. The reversal of 121112001021 is 120100211121.

It is not a de Polignac number, because 121112001021 - 29 = 121112000509 is a prime.

It is a super-4 number, since 4×1211120010214 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121112000988 and 121112001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112001061) 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 31 ways as a sum of consecutive naturals, for example, 13161180 + ... + 13170378.

It is an arithmetic number, because the mean of its divisors is an integer number (5540976000).

Almost surely, 2121112001021 is an apocalyptic number.

121112001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112001021 is a deficient number, since it is larger than the sum of its proper divisors (56199230979).

121112001021 is a wasteful number, since it uses less digits than its factorization.

121112001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11769.

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

Adding to 121112001021 its reverse (120100211121), we get a palindrome (241212212142).

The spelling of 121112001021 in words is "one hundred twenty-one billion, one hundred twelve million, one thousand, twenty-one".

Divisors: 1 3 11 33 167 501 1837 2389 5511 7167 9199 26279 27597 78837 101189 303567 398963 1196889 1536233 4388593 4608699 13165779 16898563 21976411 50695689 65929233 241740521 725221563 3670060637 11010181911 40370667007 121112001021