Search a number
-
+
121111121112212 = 2271117431015325919
BaseRepresentation
bin11011100010011001100001…
…010110100010110010010100
3120212211002222021011211122002
4123202121201112202302110
5111333241034001042322
61105325403030254432
734336663324620320
oct3342314126426224
9525732867154562
10121111121112212
1135653a35564430
12117001914b7418
1352769642557ca
1421c9b49532980
15e005a161ac92
hex6e26615a2c94

121111121112212 has 192 divisors, whose sum is σ = 289127409500160. Its totient is φ = 42948202752000.

The previous prime is 121111121112151. The next prime is 121111121112253. The reversal of 121111121112212 is 212211121111121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20076989 + ... + 25402907.

It is an arithmetic number, because the mean of its divisors is an integer number (1505871924480).

Almost surely, 2121111121112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111121112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144563704750080).

121111121112212 is an abundant number, since it is smaller than the sum of its proper divisors (168016288387948).

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

121111121112212 is a wasteful number, since it uses less digits than its factorization.

121111121112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326102 (or 5326100 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

Adding to 121111121112212 its reverse (212211121111121), we get a palindrome (333322242223333).

The spelling of 121111121112212 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twelve".