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1221101201112 = 233135383889699
BaseRepresentation
bin10001110001001111010…
…011011010011011011000
311022201212122100012011120
4101301033103122123120
5130001303401413422
62332544404325240
7154136011644552
oct21611723323330
94281778305146
101221101201112
11430958880881
121787a83a3820
138b1c3173c20
144315cb824d2
1521b6c47845c
hex11c4f4da6d8

1221101201112 has 128 divisors (see below), whose sum is σ = 3389970528000. Its totient is φ = 364192538112.

The previous prime is 1221101201081. The next prime is 1221101201141. The reversal of 1221101201112 is 2111021011221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1221101201091 and 1221101201100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927639 + ... + 1817337.

It is an arithmetic number, because the mean of its divisors is an integer number (26484144750).

Almost surely, 21221101201112 is an apocalyptic number.

1221101201112 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 1221101201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694985264000).

1221101201112 is an abundant number, since it is smaller than the sum of its proper divisors (2168869326888).

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

1221101201112 is a wasteful number, since it uses less digits than its factorization.

1221101201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889857 (or 889853 counting only the distinct ones).

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

Adding to 1221101201112 its reverse (2111021011221), we get a palindrome (3332122212333).

The spelling of 1221101201112 in words is "one trillion, two hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 83 104 106 156 159 166 212 249 312 318 332 424 498 636 664 689 996 1079 1272 1378 1992 2067 2158 2756 3237 4134 4316 4399 5512 6474 8268 8632 8798 12948 13197 16536 17596 25896 26394 35192 52788 57187 105576 114374 171561 228748 343122 457496 686244 889699 1372488 1779398 2669097 3558796 5338194 7117592 10676388 11566087 21352776 23132174 34698261 46264348 47154047 69396522 73845017 92528696 94308094 138793044 141462141 147690034 188616188 221535051 277586088 282924282 295380068 377232376 443070102 565848564 590760136 613002611 886140204 959985221 1131697128 1226005222 1772280408 1839007833 1919970442 2452010444 2879955663 3678015666 3839940884 3913785901 4904020888 5759911326 7356031332 7679881768 7827571802 11519822652 11741357703 14712062664 15655143604 23039645304 23482715406 31310287208 46965430812 50879216713 93930861624 101758433426 152637650139 203516866852 305275300278 407033733704 610550600556 1221101201112