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1101201121212 = 2231941271434689
BaseRepresentation
bin10000000001100100101…
…100111001111110111100
310220021101121012001021120
4100001210230321332330
5121020224441334322
62201515041430540
7142362535042443
oct20014454717674
93807347161246
101101201121212
11395020363155
1215950603b450
137cac58a2b9a
143b426c09d5a
151d9a115da5c
hex10064b39fbc

1101201121212 has 96 divisors (see below), whose sum is σ = 2780903193600. Its totient is φ = 338013388800.

The previous prime is 1101201121159. The next prime is 1101201121219. The reversal of 1101201121212 is 2121211021011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1101201121191 and 1101201121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101201121219) 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, 2315964 + ... + 2750652.

It is an arithmetic number, because the mean of its divisors is an integer number (28967741600).

Almost surely, 21101201121212 is an apocalyptic number.

1101201121212 is a gapful number since it is divisible by the number (12) 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 1101201121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390451596800).

1101201121212 is an abundant number, since it is smaller than the sum of its proper divisors (1679702072388).

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

1101201121212 is a wasteful number, since it uses less digits than its factorization.

1101201121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435027 (or 435025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1101201121212 its reverse (2121211021011), we get a palindrome (3222412142223).

The spelling of 1101201121212 in words is "one trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 271 492 542 779 813 1084 1558 1626 2337 3116 3252 4674 5149 9348 10298 11111 15447 20596 22222 30894 33333 44444 61788 66666 133332 211109 422218 434689 633327 844436 869378 1266654 1304067 1738756 2533308 2608134 5216268 8259091 16518182 17822249 24777273 33036364 35644498 49554546 53466747 71288996 99109092 106933494 117800719 213866988 235601438 338622731 353402157 471202876 677245462 706804314 1015868193 1354490924 1413608628 2031736386 2238213661 4063472772 4476427322 4829829479 6714640983 8952854644 9659658958 13429281966 14489488437 19319317916 26858563932 28978976874 57957953748 91766760101 183533520202 275300280303 367067040404 550600560606 1101201121212