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12200001102021 = 3192716071301149
BaseRepresentation
bin1011000110001000100010…
…1110110110000011000101
31121012022100001102202222110
42301202020232312003011
53044341100240231041
641540334135451233
72366264254226265
oct261421056660305
947168301382873
1012200001102021
113983a9a628a67
121450537826b19
136a65bc006535
143026a9ca97a5
1516253b511516
hexb1888bb60c5

12200001102021 has 32 divisors (see below), whose sum is σ = 17214318592000. Its totient is φ = 7664178087360.

The previous prime is 12200001102001. The next prime is 12200001102041. The reversal of 12200001102021 is 12020110000221.

It is an interprime number because it is at equal distance from previous prime (12200001102001) and next prime (12200001102041).

It is not a de Polignac number, because 12200001102021 - 213 = 12200001093829 is a prime.

It is a super-2 number, since 2×122000011020212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200001101988 and 12200001102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200001102001) 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 31 ways as a sum of consecutive naturals, for example, 8725755 + ... + 10026903.

It is an arithmetic number, because the mean of its divisors is an integer number (537947456000).

Almost surely, 212200001102021 is an apocalyptic number.

It is an amenable number.

12200001102021 is a deficient number, since it is larger than the sum of its proper divisors (5014317489979).

12200001102021 is a wasteful number, since it uses less digits than its factorization.

12200001102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302049.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200001102021 its reverse (12020110000221), we get a palindrome (24220111102242).

The spelling of 12200001102021 in words is "twelve trillion, two hundred billion, one million, one hundred two thousand, twenty-one".

Divisors: 1 3 19 57 271 607 813 1821 5149 11533 15447 34599 164497 493491 1301149 3125443 3903447 9376329 24721831 74165493 352611379 789797443 1057834137 2369392329 6699616201 15006151417 20098848603 45018454251 214035107053 642105321159 4066667034007 12200001102021