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1231113321120 = 253514711743589
BaseRepresentation
bin10001111010100100000…
…100100111101010100000
311100200201101220120211010
4101322210010213222200
5130132310002233440
62341322103020520
7154642064366034
oct21724404475240
94320641816733
101231113321120
11435126413821
1217a72143a740
138c12a515ba7
144382c77c1c4
152205642c580
hex11ea4127aa0

1231113321120 has 96 divisors (see below), whose sum is σ = 3880645493760. Its totient is φ = 328073518080.

The previous prime is 1231113321079. The next prime is 1231113321121. The reversal of 1231113321120 is 211233111321.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1231113321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165715 + ... + 1577874.

It is an arithmetic number, because the mean of its divisors is an integer number (40423390560).

Almost surely, 21231113321120 is an apocalyptic number.

1231113321120 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 1231113321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940322746880).

1231113321120 is an abundant number, since it is smaller than the sum of its proper divisors (2649532172640).

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

1231113321120 is a wasteful number, since it uses less digits than its factorization.

1231113321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745078 (or 1745070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1231113321120 its reverse (211233111321), we get a palindrome (1442346432441).

The spelling of 1231113321120 in words is "one trillion, two hundred thirty-one billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1471 2942 4413 5884 7355 8826 11768 14710 17652 22065 23536 29420 35304 44130 47072 58840 70608 88260 117680 141216 176520 235360 353040 706080 1743589 3487178 5230767 6974356 8717945 10461534 13948712 17435890 20923068 26153835 27897424 34871780 41846136 52307670 55794848 69743560 83692272 104615340 139487120 167384544 209230680 278974240 418461360 836922720 2564819419 5129638838 7694458257 10259277676 12824097095 15388916514 20518555352 25648194190 30777833028 38472291285 41037110704 51296388380 61555666056 76944582570 82074221408 102592776760 123111332112 153889165140 205185553520 246222664224 307778330280 410371107040 615556660560 1231113321120