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121211010112122 = 23273131032004637
BaseRepresentation
bin11011100011110110100011…
…001100110101101001111010
3120220011122210200221210101100
4123203312203030311221322
5111341410122042041442
61105443322550232230
734350130553250360
oct3343664314655172
9526148720853340
10121211010112122
1135692334275517
121171760a055676
1352831c2a6c908
1421d090393b630
15e02e9ac2b84c
hex6e3da3335a7a

121211010112122 has 48 divisors (see below), whose sum is σ = 309823534305792. Its totient is φ = 33514565006880.

The previous prime is 121211010112081. The next prime is 121211010112139. The reversal of 121211010112122 is 221211010112121.

It is a happy number.

121211010112122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1212110101121222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121211010112095 and 121211010112104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15515998413 + ... + 15516006224.

It is an arithmetic number, because the mean of its divisors is an integer number (6454656964704).

Almost surely, 2121211010112122 is an apocalyptic number.

121211010112122 is an abundant number, since it is smaller than the sum of its proper divisors (188612524193670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121211010112122 is a wasteful number, since it uses less digits than its factorization.

121211010112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31032004683 (or 31032004680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121211010112122 its reverse (221211010112121), we get a palindrome (342422020224243).

Subtracting 121211010112122 from its reverse (221211010112121), we obtain a palindrome (99999999999999).

The spelling of 121211010112122 in words is "one hundred twenty-one trillion, two hundred eleven billion, ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 31032004637 62064009274 93096013911 186192027822 217224032459 279288041733 434448064918 558576083466 651672097377 961992143747 1303344194754 1923984287494 1955016292131 2885976431241 3910032584262 5771952862482 6733945006229 8657929293723 13467890012458 17315858587446 20201835018687 40403670037374 60605505056061 121211010112122