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1211422121112 = 233737181193939
BaseRepresentation
bin10001101000001110011…
…000101001110010011000
311021210220002102222112010
4101220032120221302120
5124321443030333422
62324304124145520
7153344112062460
oct21501630516230
94253802388463
101211422121112
11427841229805
121769469982a0
138a30caca658
14428c14baba0
15217a285cb0c
hex11a0e629c98

1211422121112 has 64 divisors (see below), whose sum is σ = 3461316998400. Its totient is φ = 346109512320.

The previous prime is 1211422121101. The next prime is 1211422121177. The reversal of 1211422121112 is 2111212241121.

It is a super-3 number, since 3×12114221211123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6149439 + ... + 6343377.

It is an arithmetic number, because the mean of its divisors is an integer number (54083078100).

Almost surely, 21211422121112 is an apocalyptic number.

1211422121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211422121112 is an abundant number, since it is smaller than the sum of its proper divisors (2249894877288).

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

1211422121112 is a wasteful number, since it uses less digits than its factorization.

1211422121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231136 (or 231132 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 1211422121112 its reverse (2111212241121), we get a palindrome (3322634362233).

The spelling of 1211422121112 in words is "one trillion, two hundred eleven billion, four hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 37181 74362 111543 148724 193939 223086 260267 297448 387878 446172 520534 581817 775756 780801 892344 1041068 1163634 1357573 1551512 1561602 2082136 2327268 2715146 3123204 4072719 4654536 5430292 6246408 8145438 10860584 16290876 32581752 7210845959 14421691918 21632537877 28843383836 43265075754 50475921713 57686767672 86530151508 100951843426 151427765139 173060303016 201903686852 302855530278 403807373704 605711060556 1211422121112