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12101022020232 = 23322328012608847
BaseRepresentation
bin1011000000010111110100…
…0111100111001010001000
31120211211212000211110020100
42300011331013213022020
53041230343114121412
641423044402325400
72356161415013565
oct260057507471210
946754760743210
1012101022020232
113946018503922
121435313959860
1369a176b79312
142db99a67d86c
1515eb96c3aedc
hexb017d1e7288

12101022020232 has 96 divisors (see below), whose sum is σ = 34210763009280. Its totient is φ = 3856917926400.

The previous prime is 12101022020231. The next prime is 12101022020261. The reversal of 12101022020232 is 23202022010121.

12101022020232 is a `hidden beast` number, since 1 + 210 + 1 + 0 + 220 + 2 + 0 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12101022020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334033 + ... + 5942879.

It is an arithmetic number, because the mean of its divisors is an integer number (356362114680).

Almost surely, 212101022020232 is an apocalyptic number.

12101022020232 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 12101022020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105381504640).

12101022020232 is an abundant number, since it is smaller than the sum of its proper divisors (22109740989048).

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

12101022020232 is a wasteful number, since it uses less digits than its factorization.

12101022020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611683 (or 2611676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12101022020232 its reverse (23202022010121), we get a palindrome (35303044030353).

The spelling of 12101022020232 in words is "twelve trillion, one hundred one billion, twenty-two million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2801 5602 8403 11204 16806 22408 25209 33612 50418 64423 67224 100836 128846 193269 201672 257692 386538 515384 579807 773076 1159614 1546152 2319228 2608847 4638456 5217694 7826541 10435388 15653082 20870776 23479623 31306164 46959246 60003481 62612328 93918492 120006962 180010443 187836984 240013924 360020886 480027848 540031329 720041772 1080062658 1440083544 2160125316 4320250632 7307380447 14614760894 21922141341 29229521788 43844282682 58459043576 65766424023 87688565364 131532848046 168069750281 175377130728 263065696092 336139500562 504209250843 526131392184 672279001124 1008418501686 1344558002248 1512627752529 2016837003372 3025255505058 4033674006744 6050511010116 12101022020232