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12110213440 = 2651314711979
BaseRepresentation
bin10110100011101001…
…10011000101000000
31011020222111120202201
423101310303011000
5144300203312230
65321403522544
7606050054503
oct132164630500
934228446681
1012110213440
115154999666
12241b829454
1311acc43090
1482c50b13a
154ad2915ca
hex2d1d33140

12110213440 has 112 divisors (see below), whose sum is σ = 31092526080. Its totient is φ = 4466165760.

The previous prime is 12110213431. The next prime is 12110213441. The reversal of 12110213440 is 4431201121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6118371 + ... + 6120349.

It is an arithmetic number, because the mean of its divisors is an integer number (277611840).

Almost surely, 212110213440 is an apocalyptic number.

12110213440 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 12110213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546263040).

12110213440 is an abundant number, since it is smaller than the sum of its proper divisors (18982312640).

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

12110213440 is a wasteful number, since it uses less digits than its factorization.

12110213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12110213440 its reverse (4431201121), we get a palindrome (16541414561).

It can be divided in two parts, 1211021 and 3440, that added together give a triangular number (1214461 = T1558).

The spelling of 12110213440 in words is "twelve billion, one hundred ten million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1471 1979 2080 2942 3958 4160 5884 7355 7916 9895 11768 14710 15832 19123 19790 23536 25727 29420 31664 38246 39580 47072 51454 58840 63328 76492 79160 94144 95615 102908 117680 126656 128635 152984 158320 191230 205816 235360 257270 305968 316640 382460 411632 470720 514540 611936 633280 764920 823264 1029080 1223872 1529840 1646528 2058160 2911109 3059680 4116320 5822218 6119360 8232640 11644436 14555545 23288872 29111090 37844417 46577744 58222180 75688834 93155488 116444360 151377668 186310976 189222085 232888720 302755336 378444170 465777440 605510672 756888340 931554880 1211021344 1513776680 2422042688 3027553360 6055106720 12110213440