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12231211320 = 2332573465419
BaseRepresentation
bin10110110010000100…
…10111100100111000
31011120102011220122200
423121002113210320
5200022142230240
65341405150200
7612046403136
oct133102274470
934512156580
1012231211320
115207222109
12245425b360
1311cc029263
14840606756
154b8be2930
hex2d9097938

12231211320 has 96 divisors (see below), whose sum is σ = 40296063600. Its totient is φ = 3216969216.

The previous prime is 12231211313. The next prime is 12231211327. The reversal of 12231211320 is 2311213221.

12231211320 is a `hidden beast` number, since 1 + 22 + 312 + 11 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12231211313) and next prime (12231211327).

It is a super-2 number, since 2×122312113202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12231211293 and 12231211302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231211327) 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, 206430 + ... + 258989.

Almost surely, 212231211320 is an apocalyptic number.

12231211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12231211320 is an abundant number, since it is smaller than the sum of its proper divisors (28064852280).

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

12231211320 is a wasteful number, since it uses less digits than its factorization.

12231211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465509 (or 465502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12231211320 its reverse (2311213221), we get a palindrome (14542424541).

The spelling of 12231211320 in words is "twelve billion, two hundred thirty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 465419 930838 1396257 1861676 2327095 2792514 3723352 4188771 4654190 5585028 6981285 8377542 9308380 11170056 13962570 16755084 18616760 20943855 27925140 33510168 33975587 41887710 55850280 67951174 83775420 101926761 135902348 167550840 169877935 203853522 271804696 305780283 339755870 407707044 509633805 611560566 679511740 815414088 1019267610 1223121132 1359023480 1528901415 2038535220 2446242264 3057802830 4077070440 6115605660 12231211320