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212222012000121 = 33172711706115589
BaseRepresentation
bin110000010000001111001001…
…101000111000011101111001
31000211102020002220110022102000
4300100033021220320131321
5210304021140033000441
62031205240231131213
762462351203232514
oct6020171150703571
91024366086408360
10212222012000121
1161690939180892
121b97606a513b09
1391555b0461976
143a59858ca9d7b
1519805acb332b6
hexc103c9a38779

212222012000121 has 32 divisors (see below), whose sum is σ = 334125677145600. Its totient is φ = 132667548122880.

The previous prime is 212222012000099. The next prime is 212222012000123. The reversal of 212222012000121 is 121000210222212.

It is a happy number.

212222012000121 is a `hidden beast` number, since 2 + 122 + 220 + 1 + 200 + 0 + 121 = 666.

It is not a de Polignac number, because 212222012000121 - 213 = 212222011991929 is a prime.

It is a super-3 number, since 3×2122220120001213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212222012000094 and 212222012000103.

It is not an unprimeable number, because it can be changed into a prime (212222012000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852933406 + ... + 853182183.

It is an arithmetic number, because the mean of its divisors is an integer number (10441427410800).

Almost surely, 2212222012000121 is an apocalyptic number.

It is an amenable number.

212222012000121 is a deficient number, since it is larger than the sum of its proper divisors (121903665145479).

212222012000121 is a wasteful number, since it uses less digits than its factorization.

212222012000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706115886 (or 1706115880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212222012000121 its reverse (121000210222212), we get a palindrome (333222222222333).

The spelling of 212222012000121 in words is "two hundred twelve trillion, two hundred twenty-two billion, twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 153 271 459 813 2439 4607 7317 13821 41463 124389 1706115589 5118346767 15355040301 29003965013 46065120903 87011895039 261035685117 462357324619 783107055351 1387071973857 4161215921571 7860074518523 12483647764713 23580223555569 70740670666707 212222012000121