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12220002112101 = 3717131539948397
BaseRepresentation
bin1011000111010011000011…
…1000101001001001100101
31121021012221221212100210120
42301310300320221021211
53100203031020041401
641553442542512153
72400603021061110
oct261646070511145
947235857770716
1012220002112101
113991523687963
121454399b95659
136a8458975b44
14303646375577
15162d0c3cb836
hexb1d30e29265

12220002112101 has 64 divisors (see below), whose sum is σ = 19870902374400. Its totient is φ = 6520590535680.

The previous prime is 12220002112099. The next prime is 12220002112139. The reversal of 12220002112101 is 10121120002221.

It is not a de Polignac number, because 12220002112101 - 21 = 12220002112099 is a prime.

It is a super-3 number, since 3×122200021121013 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220002112181) 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, 252470835 + ... + 252519231.

It is an arithmetic number, because the mean of its divisors is an integer number (310482849600).

Almost surely, 212220002112101 is an apocalyptic number.

It is an amenable number.

12220002112101 is a deficient number, since it is larger than the sum of its proper divisors (7650900262299).

12220002112101 is a wasteful number, since it uses less digits than its factorization.

12220002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53954.

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

Adding to 12220002112101 its reverse (10121120002221), we get a palindrome (22341122114322).

The spelling of 12220002112101 in words is "twelve trillion, two hundred twenty billion, two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 7 17 21 51 119 131 357 393 917 2227 2751 5399 6681 15589 16197 37793 46767 48397 91783 113379 145191 275349 338779 642481 707269 822749 1016337 1927443 2121807 2468247 4950883 5759243 6340007 12023573 14852649 17277729 19020021 36070719 44380049 84165011 107780119 133140147 252495033 261295403 323340357 754460833 783886209 1829067821 2263382499 4442021851 5487203463 13326065553 31094152957 34229697793 93282458871 102689093379 239607884551 581904862481 718823653653 1745714587443 4073334037367 12220002112101