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1101212121212 = 227317618292011
BaseRepresentation
bin10000000001100101010…
…110110111100001111100
310220021102100212220102222
4100001211112313201330
5121020240300334322
62201520113304512
7142363030405430
oct20014526674174
93807370786388
101101212121212
11395026596665
12159509865138
137cac7c54968
143b4284709c0
151d9a20d2e42
hex100655b787c

1101212121212 has 96 divisors (see below), whose sum is σ = 2280337059840. Its totient is φ = 455347008000.

The previous prime is 1101212121211. The next prime is 1101212121227. The reversal of 1101212121212 is 2121212121011.

1101212121212 is a modest number, since divided by 12121212 gives 11012 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101212121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547593287 + ... + 547595297.

It is an arithmetic number, because the mean of its divisors is an integer number (23753511040).

Almost surely, 21101212121212 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 1101212121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140168529920).

1101212121212 is an abundant number, since it is smaller than the sum of its proper divisors (1179124938628).

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

1101212121212 is a wasteful number, since it uses less digits than its factorization.

1101212121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1101212121212 its reverse (2121212121011), we get a palindrome (3222424242223).

The spelling of 1101212121212 in words is "one trillion, one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 761 829 868 1522 1658 2011 3044 3316 4022 5327 5803 8044 10654 11606 14077 21308 23212 23591 25699 28154 47182 51398 56308 62341 94364 102796 124682 165137 179893 249364 330274 359786 436387 630869 660548 719572 872774 1261738 1530371 1667119 1745548 2523476 3060742 3334238 4416083 6121484 6668476 8832166 10712597 11669833 17664332 19556939 21425194 23339666 39113878 42850388 46679332 47441501 51680689 78227756 94883002 103361378 136898573 189766004 206722756 273797146 332090507 361764823 547594292 664181014 723529646 1268677559 1328362028 1447059292 2537355118 5074710236 8880742913 17761485826 35522971652 39329004329 78658008658 157316017316 275303030303 550606060606 1101212121212