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11211201122112 = 263245343429259
BaseRepresentation
bin1010001100100100111110…
…1010010000111101000000
31110200210001212211022201100
42203021033222100331000
52432141014441401422
635502204340334400
72234661005123115
oct243111752207500
943623055738640
1011211201122112
113632709837a22
1213109806a4400
1363429a228824
142aa8a711c90c
151469681997ac
hexa324fa90f40

11211201122112 has 84 divisors (see below), whose sum is σ = 32135667341440. Its totient is φ = 3736975917312.

The previous prime is 11211201122111. The next prime is 11211201122123. The reversal of 11211201122112 is 21122110211211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211201122111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25902939 + ... + 26332197.

Almost surely, 211211201122112 is an apocalyptic number.

11211201122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211201122112 is an abundant number, since it is smaller than the sum of its proper divisors (20924466219328).

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

11211201122112 is a wasteful number, since it uses less digits than its factorization.

11211201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474620 (or 474607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11211201122112 its reverse (21122110211211), we get a palindrome (32333311333323).

The spelling of 11211201122112 in words is "eleven trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 45343 90686 136029 181372 272058 362744 408087 429259 544116 725488 816174 858518 1088232 1287777 1450976 1632348 1717036 2176464 2575554 2901952 3264696 3434072 3863331 4352928 5151108 6529392 6868144 7726662 8705856 10302216 13058784 13736288 15453324 20604432 26117568 27472576 30906648 41208864 61813296 82417728 123626592 247253184 19463890837 38927781674 58391672511 77855563348 116783345022 155711126696 175175017533 233566690044 311422253392 350350035066 467133380088 622844506784 700700070132 934266760176 1245689013568 1401400140264 1868533520352 2802800280528 3737067040704 5605600561056 11211201122112