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11122000120 = 23571122316193
BaseRepresentation
bin10100101101110110…
…00100000011111000
31001201010000010221101
422112323010003320
5140234213000440
65035343021144
7542420304220
oct122673040370
931633003841
1011122000120
114798096340
1221a489a7b4
1310832a1a7a
1477718b080
1545163c69a
hex296ec40f8

11122000120 has 128 divisors (see below), whose sum is σ = 31341219840. Its totient is φ = 3450839040.

The previous prime is 11122000103. The next prime is 11122000159. The reversal of 11122000120 is 2100022111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11122000097 and 11122000106.

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, 678744 + ... + 694936.

It is an arithmetic number, because the mean of its divisors is an integer number (244853280).

Almost surely, 211122000120 is an apocalyptic number.

11122000120 is a gapful number since it is divisible by the number (10) 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 11122000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670609920).

11122000120 is an abundant number, since it is smaller than the sum of its proper divisors (20219219720).

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

11122000120 is a wasteful number, since it uses less digits than its factorization.

11122000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16445 (or 16441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11122000120 its reverse (2100022111), we get a palindrome (13222022231).

The spelling of 11122000120 in words is "eleven billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 223 280 308 385 440 446 616 770 892 1115 1540 1561 1784 2230 2453 3080 3122 4460 4906 6244 7805 8920 9812 12265 12488 15610 16193 17171 19624 24530 31220 32386 34342 49060 62440 64772 68684 80965 85855 98120 113351 129544 137368 161930 171710 178123 226702 323860 343420 356246 453404 566755 647720 686840 712492 890615 906808 1133510 1246861 1424984 1781230 2267020 2493722 3562460 3611039 4534040 4987444 6234305 7124920 7222078 9974888 12468610 14444156 18055195 24937220 25277273 28888312 36110390 39721429 49874440 50554546 72220780 79442858 101109092 126386365 144441560 158885716 198607145 202218184 252772730 278050003 317771432 397214290 505545460 556100006 794428580 1011090920 1112200012 1390250015 1588857160 2224400024 2780500030 5561000060 11122000120