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12130400312320 = 21053373702407
BaseRepresentation
bin1011000010000101010000…
…1100111001110000000000
31120221122200110021022200111
42300201110030321300000
53042221024434443240
641444343505201104
72361251425252123
oct260412414716000
946848613238614
1012130400312320
113957523812564
12143ab52630194
1369cb794b4bc4
142dd1862d03ba
15160815eaa1ea
hexb0854339c00

12130400312320 has 88 divisors (see below), whose sum is σ = 29107413838944. Its totient is φ = 4850714689536.

The previous prime is 12130400312269. The next prime is 12130400312321. The reversal of 12130400312320 is 2321300403121.

It is a super-2 number, since 2×121304003123202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130400312291 and 12130400312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130400312321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16918557 + ... + 17620963.

Almost surely, 212130400312320 is an apocalyptic number.

12130400312320 is a gapful number since it is divisible by the number (10) 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 12130400312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553706919472).

12130400312320 is an abundant number, since it is smaller than the sum of its proper divisors (16977013526624).

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

12130400312320 is an equidigital number, since it uses as much as digits as its factorization.

12130400312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705805 (or 705787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12130400312320 its reverse (2321300403121), we get a palindrome (14451700715441).

The spelling of 12130400312320 in words is "twelve trillion, one hundred thirty billion, four hundred million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3373 5120 6746 13492 16865 26984 33730 53968 67460 107936 134920 215872 269840 431744 539680 702407 863488 1079360 1404814 1726976 2158720 2809628 3453952 3512035 4317440 5619256 7024070 8634880 11238512 14048140 17269760 22477024 28096280 44954048 56192560 89908096 112385120 179816192 224770240 359632384 449540480 719264768 899080960 1798161920 2369218811 3596323840 4738437622 9476875244 11846094055 18953750488 23692188110 37907500976 47384376220 75815001952 94768752440 151630003904 189537504880 303260007808 379075009760 606520015616 758150019520 1213040031232 1516300039040 2426080062464 3032600078080 6065200156160 12130400312320