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12000000231312 = 243372533445567
BaseRepresentation
bin1010111010011111011111…
…0000000100011110010000
31120111012002122111212002120
42232213313300010132100
53033102000024400222
641304420215014240
72345654122664622
oct256476760043620
946435078455076
1012000000231312
113907198322675
12141981b96a380
13690797770c62
142d6b35a3cc12
1515c232e6915c
hexae9f7c04790

12000000231312 has 120 divisors (see below), whose sum is σ = 32461633322496. Its totient is φ = 3818458934784.

The previous prime is 12000000231283. The next prime is 12000000231343. The reversal of 12000000231312 is 21313200000021.

12000000231312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000000231291 and 12000000231300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759953 + ... + 5205519.

Almost surely, 212000000231312 is an apocalyptic number.

12000000231312 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 12000000231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230816661248).

12000000231312 is an abundant number, since it is smaller than the sum of its proper divisors (20461633091184).

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

12000000231312 is a wasteful number, since it uses less digits than its factorization.

12000000231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445705 (or 3445662 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000000231312 its reverse (21313200000021), we get a palindrome (33313200231333).

The spelling of 12000000231312 in words is "twelve trillion, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 53 74 106 111 148 159 212 222 296 318 424 444 592 636 848 888 1272 1369 1776 1961 2544 2738 3922 4107 5476 5883 7844 8214 10952 11766 15688 16428 21904 23532 31376 32856 47064 65712 72557 94128 145114 217671 290228 435342 580456 870684 1160912 1741368 3445567 3482736 6891134 10336701 13782268 20673402 27564536 41346804 55129072 82693608 127485979 165387216 182615051 254971958 365230102 382457937 509943916 547845153 730460204 764915874 1019887832 1095690306 1460920408 1529831748 2039775664 2191380612 2921840816 3059663496 4382761224 4716981223 6119326992 6756756887 8765522448 9433962446 13513513774 14150943669 18867924892 20270270661 27027027548 28301887338 37735849784 40540541322 54054055096 56603774676 75471699568 81081082644 108108110192 113207549352 162162165288 226415098704 250000004819 324324330576 500000009638 750000014457 1000000019276 1500000028914 2000000038552 3000000057828 4000000077104 6000000115656 12000000231312