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12000022434312 = 23311337824316363
BaseRepresentation
bin1010111010011111100100…
…0100110001001000001000
31120111012011012021212212220
42232213321010301020020
53033102021220344222
641304422330534040
72345654512500453
oct256477104611010
946435135255786
1012000022434312
1139071a9908060
121419827297320
1369079c246023
142d6b3897c49a
1515c234da2b5c
hexae9f9131208

12000022434312 has 128 divisors (see below), whose sum is σ = 32830436021760. Its totient is φ = 3624918635520.

The previous prime is 12000022434277. The next prime is 12000022434391. The reversal of 12000022434312 is 21343422000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 733355043 + ... + 733371405.

It is an arithmetic number, because the mean of its divisors is an integer number (256487781420).

Almost surely, 212000022434312 is an apocalyptic number.

12000022434312 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 12000022434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415218010880).

12000022434312 is an abundant number, since it is smaller than the sum of its proper divisors (20830413587448).

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

12000022434312 is a wasteful number, since it uses less digits than its factorization.

12000022434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24963 (or 24959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12000022434312 its reverse (21343422000021), we get a palindrome (33343444434333).

The spelling of 12000022434312 in words is "twelve trillion, twenty-two million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 337 674 1011 1348 2022 2696 3707 4044 7414 8088 8243 11121 14828 16363 16486 22242 24729 29656 32726 32972 44484 49089 49458 65452 65944 88968 90673 98178 98916 130904 179993 181346 196356 197832 272019 359986 362692 392712 539979 544038 719972 725384 1079958 1088076 1439944 2159916 2176152 2777891 4319832 5514331 5555782 8333673 11028662 11111564 16542993 16667346 22057324 22223128 30556801 33085986 33334692 44114648 60657641 61113602 66171972 66669384 91670403 121315282 122227204 132343944 134880209 181972923 183340806 242630564 244454408 269760418 363945846 366681612 404640627 485261128 539520836 727891692 733363224 809281254 1079041672 1455783384 1483682299 1618562508 2967364598 3237125016 4451046897 5934729196 8902093794 11869458392 17804187588 35608375176 45454630433 90909260866 136363891299 181818521732 272727782598 363637043464 500000934763 545455565196 1000001869526 1090911130392 1500002804289 2000003739052 3000005608578 4000007478104 6000011217156 12000022434312