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11222122221112 = 23111747499319849
BaseRepresentation
bin1010001101001101101010…
…0110111100111000111000
31110201211020222210122010111
42203103122212330320320
52432330401242033422
635511212145354104
72235525436000645
oct243233246747070
943654228718114
1011222122221112
113637303485280
121312b0a038934
1363531a9b909a
142ab221730dcc
15146da6d50a77
hexa34da9bce38

11222122221112 has 128 divisors (see below), whose sum is σ = 24871536000000. Its totient is φ = 4689329909760.

The previous prime is 11222122221077. The next prime is 11222122221161. The reversal of 11222122221112 is 21112222122211.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34925764 + ... + 35245612.

It is an arithmetic number, because the mean of its divisors is an integer number (194308875000).

Almost surely, 211222122221112 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 11222122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435768000000).

11222122221112 is an abundant number, since it is smaller than the sum of its proper divisors (13649413778888).

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

11222122221112 is a wasteful number, since it uses less digits than its factorization.

11222122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320429 (or 320425 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 11222122221112 its reverse (21112222122211), we get a palindrome (32334344343323).

The spelling of 11222122221112 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 499 517 748 799 998 1034 1496 1598 1996 2068 3196 3992 4136 5489 6392 8483 8789 10978 16966 17578 21956 23453 33932 35156 43912 46906 67864 70312 93313 93812 186626 187624 257983 319849 373252 398701 515966 639698 746504 797402 1031932 1279396 1594804 2063864 2558792 3189608 3518339 4385711 5437433 7036678 8771422 10874866 14073356 15032903 17542844 21749732 28146712 30065806 35085688 43499464 59811763 60131612 119623526 120263224 159604651 165361933 239247052 255559351 319209302 330723866 478494104 511118702 638418604 661447732 1022237404 1276837208 1322895464 1755651161 2044474808 2713279067 2811152861 3511302322 5426558134 5622305722 7022604644 7501418597 10853116268 11244611444 14045209288 15002837194 21706232536 22489222888 29846069737 30005674388 59692139474 60011348776 82515604567 119384278948 127524116149 165031209134 238768557896 255048232298 330062418268 510096464596 660124836536 1020192929192 1402765277639 2805530555278 5611061110556 11222122221112