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11211001122012 = 22317382114382593
BaseRepresentation
bin1010001100100100001110…
…1111010100110011011100
31110200202112221111021011020
42203021003233110303130
52432140112241401022
635502132433524140
72234653026135336
oct243110357246334
943622487437136
1011211001122012
11363261695498a
121310925713650
13634267971483
142aa88873a456
1514695584035c
hexa3243bd4cdc

11211001122012 has 48 divisors (see below), whose sum is σ = 27705018231072. Its totient is φ = 3516256092160.

The previous prime is 11211001121987. The next prime is 11211001122019. The reversal of 11211001122012 is 21022110011211.

It is a happy number.

11211001122012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11211001121982 and 11211001122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211001122019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6411813 + ... + 7970780.

It is an arithmetic number, because the mean of its divisors is an integer number (577187879814).

Almost surely, 211211001122012 is an apocalyptic number.

11211001122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211001122012 is an abundant number, since it is smaller than the sum of its proper divisors (16494017109060).

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

11211001122012 is a wasteful number, since it uses less digits than its factorization.

11211001122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386438 (or 14386436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211001122012 its reverse (21022110011211), we get a palindrome (32233111133223).

The spelling of 11211001122012 in words is "eleven trillion, two hundred eleven billion, one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 3821 7642 11463 15284 22926 45852 64957 129914 194871 259828 389742 779484 14382593 28765186 43147779 57530372 86295558 172591116 244504081 489008162 733512243 978016324 1467024486 2934048972 54955887853 109911775706 164867663559 219823551412 329735327118 659470654236 934250093501 1868500187002 2802750280503 3737000374004 5605500561006 11211001122012