Search a number
-
+
121112011044 = 223261173318793
BaseRepresentation
bin111000011001011010…
…1101010000100100100
3102120121111121121212200
41300302311222010210
53441014133323134
6131345454414500
711515161052053
oct1606265520444
9376544547780
10121112011044
11473aa633512
121b580201430
13b5616b207b
145c0ccd039a
15323c910499
hex1c32d6a124

121112011044 has 72 divisors (see below), whose sum is σ = 312962620152. Its totient is φ = 39479201280.

The previous prime is 121112011043. The next prime is 121112011051. The reversal of 121112011044 is 440110211121.

It can be written as a sum of positive squares in 4 ways, for example, as 5294308644 + 115817702400 = 72762^2 + 340320^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121112011043) 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, 220512 + ... + 539304.

Almost surely, 2121112011044 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 121112011044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156481310076).

121112011044 is an abundant number, since it is smaller than the sum of its proper divisors (191850609108).

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

121112011044 is a wasteful number, since it uses less digits than its factorization.

121112011044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319037 (or 319032 counting only the distinct ones).

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

Adding to 121112011044 its reverse (440110211121), we get a palindrome (561222222165).

The spelling of 121112011044 in words is "one hundred twenty-one billion, one hundred twelve million, eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 173 183 244 346 366 519 549 692 732 1038 1098 1557 2076 2196 3114 6228 10553 21106 31659 42212 63318 94977 126636 189954 318793 379908 637586 956379 1275172 1912758 2869137 3825516 5738274 11476548 19446373 38892746 55151189 58339119 77785492 110302378 116678238 165453567 175017357 220604756 233356476 330907134 350034714 496360701 661814268 700069428 992721402 1985442804 3364222529 6728445058 10092667587 13456890116 20185335174 30278002761 40370670348 60556005522 121112011044