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211220002120120 = 23575771307378077
BaseRepresentation
bin110000000001101001111101…
…001100100010000110111000
31000200212102202010002101212221
4300001221331030202012320
5210141112031020320440
62025121043542013424
762330066361622150
oct6001517514420670
91020772663071787
10211220002120120
1161334999780344
121b833a27417274
1390b1c6496ca26
143a23161955760
1519644b4c06d4a
hexc01a7d3221b8

211220002120120 has 64 divisors (see below), whose sum is σ = 544078460940480. Its totient is φ = 72292778090496.

The previous prime is 211220002120079. The next prime is 211220002120133. The reversal of 211220002120120 is 21021200022112.

It is a happy number.

It is a super-2 number, since 2×2112200021201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220002120094 and 211220002120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653527479 + ... + 653850598.

It is an arithmetic number, because the mean of its divisors is an integer number (8501225952195).

Almost surely, 2211220002120120 is an apocalyptic number.

211220002120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220002120120 is an abundant number, since it is smaller than the sum of its proper divisors (332858458820360).

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

211220002120120 is a wasteful number, since it uses less digits than its factorization.

211220002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307378672 (or 1307378668 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220002120120 its reverse (21021200022112), we get a palindrome (232241202142232).

The spelling of 211220002120120 in words is "two hundred eleven trillion, two hundred twenty billion, two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 577 1154 2308 2885 4039 4616 5770 8078 11540 16156 20195 23080 32312 40390 80780 161560 1307378077 2614756154 5229512308 6536890385 9151646539 10459024616 13073780770 18303293078 26147561540 36606586156 45758232695 52295123080 73213172312 91516465390 183032930780 366065861560 754357150429 1508714300858 3017428601716 3771785752145 5280500053003 6034857203432 7543571504290 10561000106006 15087143008580 21122000212012 26402500265015 30174286017160 42244000424024 52805000530030 105610001060060 211220002120120