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121112211100 = 225219163391063
BaseRepresentation
bin111000011001011011…
…0011010111010011100
3102120121111222210022011
41300302312122322130
53441014211223400
6131345503001004
711515162544236
oct1606266327234
9376544883264
10121112211100
11473aa75a851
121b580299164
13b56175214a
145c0cd43256
15323c94e8ba
hex1c32d9ae9c

121112211100 has 72 divisors (see below), whose sum is σ = 278343712640. Its totient is φ = 45613471680.

The previous prime is 121112211097. The next prime is 121112211109. The reversal of 121112211100 is 1112211121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112211109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114169 + ... + 505231.

Almost surely, 2121112211100 is an apocalyptic number.

121112211100 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 121112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139171856320).

121112211100 is an abundant number, since it is smaller than the sum of its proper divisors (157231501540).

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

121112211100 is a wasteful number, since it uses less digits than its factorization.

121112211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391259 (or 391252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121112211100 its reverse (1112211121), we get a palindrome (122224422221).

The spelling of 121112211100 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 163 190 326 380 475 652 815 950 1630 1900 3097 3260 4075 6194 8150 12388 15485 16300 30970 61940 77425 154850 309700 391063 782126 1564252 1955315 3910630 7430197 7821260 9776575 14860394 19553150 29720788 37150985 39106300 63743269 74301970 127486538 148603940 185754925 254973076 318716345 371509850 637432690 743019700 1211122111 1274865380 1593581725 2422244222 3187163450 4844488444 6055610555 6374326900 12111221110 24222442220 30278052775 60556105550 121112211100