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211121020120120 = 2351137114971127957
BaseRepresentation
bin110000000000001101110001…
…011010001010110000111000
31000200111222020212222211002221
4300000031301122022300320
5210133001322122320440
62025003354022133424
762316663455533525
oct6000156132126070
91020458225884087
10211121020120120
11612a6a15a42760
121b818802581274
1390a581c030466
143a1c451baa14c
151961b20056d4a
hexc0037168ac38

211121020120120 has 128 divisors (see below), whose sum is σ = 532258474887360. Its totient is φ = 74689817333760.

The previous prime is 211121020120117. The next prime is 211121020120133. The reversal of 211121020120120 is 21021020121112.

It is a super-2 number, since 2×2111210201201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211121020120094 and 211121020120103.

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, 186607182 + ... + 187735138.

Almost surely, 2211121020120120 is an apocalyptic number.

211121020120120 is a gapful number since it is divisible by the number (20) 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 211121020120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266129237443680).

211121020120120 is an abundant number, since it is smaller than the sum of its proper divisors (321137454767240).

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

211121020120120 is a wasteful number, since it uses less digits than its factorization.

211121020120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139513 (or 1139509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121020120120 its reverse (21021020121112), we get a palindrome (232142040241232).

The spelling of 211121020120120 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 11497 16280 22994 45988 57485 91976 114970 126467 229940 252934 425389 459880 505868 632335 850778 1011736 1127957 1264670 1701556 2126945 2255914 2529340 3403112 4253890 4511828 4679279 5058680 5639785 8507780 9023656 9358558 11279570 12407527 17015560 18717116 22559140 23396395 24815054 37434232 41734409 45118280 46792790 49630108 62037635 83468818 93585580 99260216 124075270 166937636 187171160 208672045 248150540 333875272 417344090 459078499 496301080 834688180 918156998 1669376360 1836313996 2295392495 3672627992 4590784990 9181569980 12968121629 18363139960 25936243258 51872486516 64840608145 103744973032 129681216290 142649337919 259362432580 285298675838 479820500273 518724865160 570597351676 713246689595 959641000546 1141194703352 1426493379190 1919282001092 2399102501365 2852986758380 3838564002184 4798205002730 5278025503003 5705973516760 9596410005460 10556051006006 19192820010920 21112102012012 26390127515015 42224204024024 52780255030030 105560510060060 211121020120120