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11122121232 = 2433531513217
BaseRepresentation
bin10100101101110111…
…00001101000010000
31001201010020022002000
422112323201220100
5140234230334412
65035345354000
7542421320265
oct122673415020
931633208060
1011122121232
114798169332
1221a4938900
131083314c31
147771bd26c
154516634dc
hex296ee1a10

11122121232 has 160 divisors (see below), whose sum is σ = 32752546560. Its totient is φ = 3612211200.

The previous prime is 11122121221. The next prime is 11122121237. The reversal of 11122121232 is 23212122111.

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

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

It is not an unprimeable number, because it can be changed into a prime (11122121237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455688 + ... + 3458904.

It is an arithmetic number, because the mean of its divisors is an integer number (204703416).

Almost surely, 211122121232 is an apocalyptic number.

11122121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376273280).

11122121232 is an abundant number, since it is smaller than the sum of its proper divisors (21630425328).

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

11122121232 is a wasteful number, since it uses less digits than its factorization.

11122121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3426 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11122121232 its reverse (23212122111), we get a palindrome (34334243343).

The spelling of 11122121232 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 151 159 212 216 302 318 424 432 453 477 604 636 848 906 954 1208 1272 1359 1431 1812 1908 2416 2544 2718 2862 3217 3624 3816 4077 5436 5724 6434 7248 7632 8003 8154 9651 10872 11448 12868 16006 16308 19302 21744 22896 24009 25736 28953 32012 32616 38604 48018 51472 57906 64024 65232 72027 77208 86859 96036 115812 128048 144054 154416 170501 173718 192072 216081 231624 288108 341002 347436 384144 432162 463248 485767 511503 576216 682004 694872 864324 971534 1023006 1152432 1364008 1389744 1457301 1534509 1728648 1943068 2046012 2728016 2914602 3069018 3457296 3886136 4092024 4371903 4603527 5829204 6138036 7772272 8184048 8743806 9207054 11658408 12276072 13115709 17487612 18414108 23316816 24552144 25745651 26231418 34975224 36828216 51491302 52462836 69950448 73656432 77236953 102982604 104925672 154473906 205965208 209851344 231710859 308947812 411930416 463421718 617895624 695132577 926843436 1235791248 1390265154 1853686872 2780530308 3707373744 5561060616 11122121232