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12222021101112 = 23321016532573807
BaseRepresentation
bin1011000111011010100100…
…1110011110011000111000
31121021102011122221122001100
42301312221032132120320
53100221144400213422
641554415144451400
72401004035151334
oct261665116363070
947242148848040
1012222021101112
11399236a314219
121454862179b60
136a86bb03b3b4
143037985747c4
15162dc97907ac
hexb1da939e638

12222021101112 has 96 divisors (see below), whose sum is σ = 33480248892480. Its totient is φ = 4027491628800.

The previous prime is 12222021101111. The next prime is 12222021101149. The reversal of 12222021101112 is 21110112022221.

12222021101112 is a `hidden beast` number, since 122 + 220 + 211 + 0 + 1 + 112 = 666.

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 (12222021101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3461713 + ... + 6035519.

It is an arithmetic number, because the mean of its divisors is an integer number (348752592630).

Almost surely, 212222021101112 is an apocalyptic number.

12222021101112 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 12222021101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740124446240).

12222021101112 is an abundant number, since it is smaller than the sum of its proper divisors (21258227791368).

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

12222021101112 is a wasteful number, since it uses less digits than its factorization.

12222021101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574573 (or 2574566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12222021101112 its reverse (21110112022221), we get a palindrome (33332133123333).

The spelling of 12222021101112 in words is "twelve trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 653 808 909 1212 1306 1818 1959 2424 2612 3636 3918 5224 5877 7272 7836 11754 15672 23508 47016 65953 131906 197859 263812 395718 527624 593577 791436 1187154 1582872 2374308 2573807 4748616 5147614 7721421 10295228 15442842 20590456 23164263 30885684 46328526 61771368 92657052 185314104 259954507 519909014 779863521 1039818028 1559727042 1680695971 2079636056 2339590563 3119454084 3361391942 4679181126 5042087913 6238908168 6722783884 9358362252 10084175826 13445567768 15126263739 18716724504 20168351652 30252527478 40336703304 60505054956 121010109912 169750293071 339500586142 509250879213 679001172284 1018501758426 1358002344568 1527752637639 2037003516852 3055505275278 4074007033704 6111010550556 12222021101112