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12210120212121 = 341366653173969
BaseRepresentation
bin1011000110101110001111…
…1000001011111010011001
31121020021110021022211110000
42301223203320023322121
53100022311233241441
641545130215243213
72400103106235066
oct261534370137231
947207407284400
1012210120212121
1139883125a7177
1214524a0679509
136a7542598850
14302d89b95c6d
1516292ea9b2b6
hexb1ae3e0be99

12210120212121 has 40 divisors (see below), whose sum is σ = 19643279067720. Its totient is φ = 7513764208128.

The previous prime is 12210120212107. The next prime is 12210120212131. The reversal of 12210120212121 is 12121202101221.

12210120212121 is a `hidden beast` number, since 1 + 2 + 210 + 120 + 212 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52422681600 + 12157697530521 = 228960^2 + 3486789^2 .

It is not a de Polignac number, because 12210120212121 - 211 = 12210120210073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210120212094 and 12210120212103.

It is not an unprimeable number, because it can be changed into a prime (12210120212131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70098625 + ... + 70272593.

It is an arithmetic number, because the mean of its divisors is an integer number (491081976693).

Almost surely, 212210120212121 is an apocalyptic number.

It is an amenable number.

12210120212121 is a deficient number, since it is larger than the sum of its proper divisors (7433158855599).

12210120212121 is a wasteful number, since it uses less digits than its factorization.

12210120212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240647 (or 240638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12210120212121 its reverse (12121202101221), we get a palindrome (24331322313342).

The spelling of 12210120212121 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 66653 173969 199959 521907 599877 866489 1565721 1799631 2261597 2599467 4697163 5398893 6784791 7798401 14091489 20354373 23395203 61063119 70185609 183189357 11595555757 34786667271 104360001813 150742224841 313080005439 452226674523 939240016317 1356680023569 4070040070707 12210120212121