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121212200011122 = 232113755192997913
BaseRepresentation
bin11011100011110111101010…
…000111111100010101110010
3120220011202212121221220221200
4123203313222013330111302
5111341420041200323442
61105444041014032030
734350202212235563
oct3343675207742562
9526152777856850
10121212200011122
1135692894a02220
12117178a0648616
13528335243856c
1421d09b799c16a
15e0301a41e34c
hex6e3dea1fc572

121212200011122 has 96 divisors (see below), whose sum is σ = 294298262219520. Its totient is φ = 35731753378560.

The previous prime is 121212200011009. The next prime is 121212200011141. The reversal of 121212200011122 is 221110002212121.

121212200011122 is a `hidden beast` number, since 121 + 212 + 200 + 0 + 11 + 122 = 666.

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 = 121212200011095 and 121212200011104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38933238 + ... + 41931150.

It is an arithmetic number, because the mean of its divisors is an integer number (3065606898120).

Almost surely, 2121212200011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212200011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147149131109760).

121212200011122 is an abundant number, since it is smaller than the sum of its proper divisors (173086062208398).

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

121212200011122 is a wasteful number, since it uses less digits than its factorization.

121212200011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003488 (or 3003485 counting only the distinct ones).

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

Adding to 121212200011122 its reverse (221110002212121), we get a palindrome (342322202223243).

The spelling of 121212200011122 in words is "one hundred twenty-one trillion, two hundred twelve billion, two hundred million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 5519 7326 11038 16557 33114 49671 60709 99342 121418 182127 204203 364254 408406 546381 612609 1092762 1225218 1837827 2246233 2997913 3675654 4492466 5995826 6738699 8993739 13477398 17987478 20216097 26981217 32977043 40432194 53962434 65954086 98931129 110922781 197862258 221845562 296793387 332768343 593586774 665536686 998305029 1220150591 1996610058 2440301182 3660451773 7320903546 10981355319 16545481847 21962710638 33090963694 49636445541 99272891082 148909336623 182000300317 297818673246 364000600634 546000900951 612182828339 1092001801902 1224365656678 1638002702853 1836548485017 3276005405706 3673096970034 5509645455051 6734011111729 11019290910102 13468022223458 20202033335187 40404066670374 60606100005561 121212200011122