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211212112220120 = 235113371424414029
BaseRepresentation
bin110000000001100010100110…
…111010111100111111011000
31000200211200101020211221210102
4300001202212322330333120
5210140444401212020440
62025113301014034532
762326400015601224
oct6001424672747730
91020750336757712
10211212112220120
1161331610072730
121b8323a5048a48
1390b12a819864b
143a22a13b4b784
1519641a2208b15
hexc018a6ebcfd8

211212112220120 has 64 divisors (see below), whose sum is σ = 519968097511200. Its totient is φ = 76576498145280.

The previous prime is 211212112220113. The next prime is 211212112220143. The reversal of 211212112220120 is 21022211212112.

211212112220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112121122201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211212112220092 and 211212112220101.

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, 712058735 + ... + 712355294.

Almost surely, 2211212112220120 is an apocalyptic number.

211212112220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212112220120 is an abundant number, since it is smaller than the sum of its proper divisors (308755985291080).

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

211212112220120 is a wasteful number, since it uses less digits than its factorization.

211212112220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424414388 (or 1424414384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211212112220120 its reverse (21022211212112), we get a palindrome (232234323432232).

The spelling of 211212112220120 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 337 440 674 1348 1685 2696 3370 3707 6740 7414 13480 14828 18535 29656 37070 74140 148280 1424414029 2848828058 5697656116 7122070145 11395312232 14244140290 15668554319 28488280580 31337108638 56976561160 62674217276 78342771595 125348434552 156685543190 313371086380 480027527773 626742172760 960055055546 1920110111092 2400137638865 3840220222184 4800275277730 5280302805503 9600550555460 10560605611006 19201101110920 21121211222012 26401514027515 42242422444024 52803028055030 105606056110060 211212112220120