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211020120012 = 2231317216136821
BaseRepresentation
bin1100010010000111000…
…1110111111111001100
3202011200100120210012110
43010201301313333030
511424132122320022
6240535153304020
721150163265532
oct3044161677714
9664610523173
10211020120012
11815473a14a9
1234a92265010
1316b8c46c750
14a2db90c152
155750b8a00c
hex3121c77fcc

211020120012 has 96 divisors (see below), whose sum is σ = 561722261184. Its totient is φ = 61079961600.

The previous prime is 211020120007. The next prime is 211020120043. The reversal of 211020120012 is 210021020112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 211020120012.

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, 5712562 + ... + 5749382.

It is an arithmetic number, because the mean of its divisors is an integer number (5851273554).

Almost surely, 2211020120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280861130592).

211020120012 is an abundant number, since it is smaller than the sum of its proper divisors (350702141172).

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

211020120012 is a wasteful number, since it uses less digits than its factorization.

211020120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39019 (or 39017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211020120012 its reverse (210021020112), we get a palindrome (421041140124).

The spelling of 211020120012 in words is "two hundred eleven billion, twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2161 2652 4322 6483 8644 12966 25932 28093 36737 36821 56186 73474 73642 84279 110211 110463 112372 146948 147284 168558 220422 220926 337116 440844 441852 477581 478673 625957 955162 957346 1251914 1432743 1436019 1877871 1910324 1914692 2503828 2865486 2872038 3755742 5730972 5744076 7511484 8137441 16274882 24412323 32549764 48824646 79570181 97649292 159140362 238710543 318280724 477421086 954842172 1034412353 1352693077 2068824706 2705386154 3103237059 4058079231 4137649412 5410772308 6206474118 8116158462 12412948236 16232316924 17585010001 35170020002 52755030003 70340040004 105510060006 211020120012