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121122102222220 = 2251119274910540771
BaseRepresentation
bin11011100010100011101111…
…111000001001110110001100
3120212212011022120002000200011
4123202203233320021312030
5111333431031132102340
61105334420421443004
734340532414536311
oct3342435770116614
9525764276060604
10121122102222220
113565866006a960
1211702336b70464
1352779c4298038
1421ca4abac6d08
15e009e56c80ea
hex6e28efe09d8c

121122102222220 has 96 divisors (see below), whose sum is σ = 292190199840000. Its totient is φ = 41711091782400.

The previous prime is 121122102222217. The next prime is 121122102222223. The reversal of 121122102222220 is 22222201221121.

It is an interprime number because it is at equal distance from previous prime (121122102222217) and next prime (121122102222223).

It is a super-2 number, since 2×1211221022222202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 121122102222191 and 121122102222200.

It is not an unprimeable number, because it can be changed into a prime (121122102222223) 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, 6220435 + ... + 16761205.

It is an arithmetic number, because the mean of its divisors is an integer number (3043647915000).

Almost surely, 2121122102222220 is an apocalyptic number.

121122102222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122102222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095099920000).

121122102222220 is an abundant number, since it is smaller than the sum of its proper divisors (171068097617780).

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

121122102222220 is a wasteful number, since it uses less digits than its factorization.

121122102222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543559 (or 10543557 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 121122102222220 its reverse (22222201221121), we get a palindrome (143344303443341).

The spelling of 121122102222220 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2749 4180 5498 10996 13745 27490 30239 52231 54980 60478 104462 120956 151195 208924 261155 302390 522310 574541 604780 1044620 1149082 2298164 2872705 5745410 10540771 11490820 21081542 42163084 52703855 105407710 115948481 200274649 210815420 231896962 400549298 463793924 579742405 801098596 1001373245 1159484810 2002746490 2203021139 2318969620 4005492980 4406042278 8812084556 11015105695 22030211390 28976579479 44060422780 57953158958 115906317916 144882897395 289765794790 318742374269 550555010101 579531589580 637484748538 1101110020202 1274969497076 1593711871345 2202220040404 2752775050505 3187423742690 5505550101010 6056105111111 6374847485380 11011100202020 12112210222222 24224420444444 30280525555555 60561051111110 121122102222220