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1110212020120 = 235756916274283
BaseRepresentation
bin10000001001111101110…
…010110000011110011000
310221010122120210010210011
4100021331302300132120
5121142203234120440
62210005132331304
7143132042315650
oct20117562603630
93833576703704
101110212020120
11398924818945
1215b1bb913b34
138090069ac28
143ba3d85b360
151dd2c28e9ea
hex1027dcb0798

1110212020120 has 128 divisors (see below), whose sum is σ = 2862274060800. Its totient is φ = 379652944896.

The previous prime is 1110212020117. The next prime is 1110212020189. The reversal of 1110212020120 is 210202120111.

It is a self number, because there is not a number n which added to its sum of digits gives 1110212020120.

It is a congruent number.

It is an unprimeable number.

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, 259211499 + ... + 259215781.

It is an arithmetic number, because the mean of its divisors is an integer number (22361516100).

Almost surely, 21110212020120 is an apocalyptic number.

1110212020120 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 1110212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431137030400).

1110212020120 is an abundant number, since it is smaller than the sum of its proper divisors (1752062040680).

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

1110212020120 is a wasteful number, since it uses less digits than its factorization.

1110212020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1110212020120 its reverse (210202120111), we get a palindrome (1320414140231).

Subtracting from 1110212020120 its reverse (210202120111), we obtain a palindrome (900009900009).

The spelling of 1110212020120 in words is "one trillion, one hundred ten billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 1138 1627 2276 2845 3254 3983 4283 4552 5690 6508 7966 8135 8566 11380 11389 13016 15932 16270 17132 19915 21415 22760 22778 29981 31864 32540 34264 39830 42830 45556 56945 59962 65080 79660 85660 91112 113890 119924 149905 159320 171320 227780 239848 299810 455560 599620 925763 1199240 1851526 2437027 3703052 4628815 4874054 6480341 6968441 7406104 9257630 9748108 12185135 12960682 13936882 17059189 18515260 19496216 24370270 25921364 27873764 32401705 34118378 34842205 37030520 48740540 48779087 51842728 55747528 64803410 68236756 69684410 85295945 97481080 97558174 129606820 136473512 139368820 170591890 195116348 243895435 259213640 278737640 341183780 390232696 487790870 682367560 975581740 1951163480 3965042929 7930085858 15860171716 19825214645 27755300503 31720343432 39650429290 55510601006 79300858580 111021202012 138776502515 158601717160 222042404024 277553005030 555106010060 1110212020120