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11120222002122 = 23253120119335021
BaseRepresentation
bin1010000111010010000011…
…1000011101101111001010
31110101002020101120011110200
42201310200320131233022
52424143203313031442
635352320502153030
72225260316301252
oct241644070355712
943332211504420
1011120222002122
1135a8072464562
1212b720ba22776
1362882b5ca20c
142a631618a962
151443e0db334c
hexa1d20e1dbca

11120222002122 has 96 divisors (see below), whose sum is σ = 24586460557776. Its totient is φ = 3631170816000.

The previous prime is 11120222002111. The next prime is 11120222002139. The reversal of 11120222002122 is 22120022202111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6352108674921 + 4768113327201 = 2520339^2 + 2183601^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11120222002095 and 11120222002104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214739972 + ... + 2214744992.

Almost surely, 211120222002122 is an apocalyptic number.

11120222002122 is an abundant number, since it is smaller than the sum of its proper divisors (13466238555654).

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

11120222002122 is a wasteful number, since it uses less digits than its factorization.

11120222002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11120222002122 its reverse (22120022202111), we get a palindrome (33240244204233).

The spelling of 11120222002122 in words is "eleven trillion, one hundred twenty billion, two hundred twenty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 1201 1933 2402 3603 3866 5021 5799 7206 10042 10809 11598 15063 17397 21618 30126 34794 45189 63653 90378 102449 127306 190959 204898 266113 307347 381918 532226 572877 614694 798339 922041 1145754 1596678 1844082 2321533 2395017 4643066 4790034 6030221 6964599 9705593 12060442 13929198 18090663 19411186 20893797 29116779 36181326 41787594 54271989 58233558 87350337 108543978 123041249 174700674 246082498 319601713 369123747 514396429 639203426 738247494 958805139 1028792858 1107371241 1543189287 1917610278 2214742482 2876415417 3086378574 4629567861 5752830834 9259135722 11656417193 23312834386 34969251579 69938503158 104907754737 209815509474 617790111229 1235580222458 1853370333687 3706740667374 5560111001061 11120222002122