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211212202122120 = 233514935111785001
BaseRepresentation
bin110000000001100010101100…
…010001111001101110001000
31000200211200121112000110011010
4300001202230101321232020
5210141000042220401440
62025113313545003520
762326402160005203
oct6001425421715610
91020750545013133
10211212202122120
1161331656897401
121b83240b1835a0
1390b12c09b4ab4
143a22a21a7093a
1519641aa066580
hexc018ac479b88

211212202122120 has 64 divisors (see below), whose sum is σ = 633640902733440. Its totient is φ = 56322872000000.

The previous prime is 211212202122107. The next prime is 211212202122149. The reversal of 211212202122120 is 21221202212112.

It is a super-2 number, since 2×2112122021221202 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12029620 + ... + 23814620.

It is an arithmetic number, because the mean of its divisors is an integer number (9900639105210).

Almost surely, 2211212202122120 is an apocalyptic number.

211212202122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212202122120 is an abundant number, since it is smaller than the sum of its proper divisors (422428700611320).

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

211212202122120 is a wasteful number, since it uses less digits than its factorization.

211212202122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934366 (or 11934362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211212202122120 its reverse (21221202212112), we get a palindrome (232433404334232).

The spelling of 211212202122120 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149351 298702 448053 597404 746755 896106 1194808 1493510 1792212 2240265 2987020 3584424 4480530 5974040 8961060 11785001 17922120 23570002 35355003 47140004 58925005 70710006 94280008 117850010 141420012 176775015 235700020 282840024 353550030 471400040 707100060 1414200120 1760101684351 3520203368702 5280305053053 7040406737404 8800508421755 10560610106106 14080813474808 17601016843510 21121220212212 26401525265265 35202033687020 42242440424424 52803050530530 70404067374040 105606101061060 211212202122120