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12120031320 = 23354119912379
BaseRepresentation
bin10110100100110100…
…10000000001011000
31011021122222101100220
423102122100001120
5144310212000240
65322354200040
7606226365165
oct132232200130
934248871326
1012120031320
11515a494a11
122422b83020
1311b1c9ca87
1482d94506c
154ae0805d0
hex2d2690058

12120031320 has 128 divisors (see below), whose sum is σ = 37437120000. Its totient is φ = 3137080320.

The previous prime is 12120031283. The next prime is 12120031349. The reversal of 12120031320 is 2313002121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120031320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972891 + ... + 985269.

It is an arithmetic number, because the mean of its divisors is an integer number (292477500).

Almost surely, 212120031320 is an apocalyptic number.

12120031320 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 12120031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718560000).

12120031320 is an abundant number, since it is smaller than the sum of its proper divisors (25317088680).

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

12120031320 is a wasteful number, since it uses less digits than its factorization.

12120031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12633 (or 12629 counting only the distinct ones).

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

Adding to 12120031320 its reverse (2313002121), we get a palindrome (14433033441).

The spelling of 12120031320 in words is "twelve billion, one hundred twenty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 199 205 246 328 398 410 492 597 615 796 820 984 995 1194 1230 1592 1640 1990 2388 2460 2985 3980 4776 4920 5970 7960 8159 11940 12379 16318 23880 24477 24758 32636 37137 40795 48954 49516 61895 65272 74274 81590 97908 99032 122385 123790 148548 163180 185685 195816 244770 247580 297096 326360 371370 489540 495160 507539 742740 979080 1015078 1485480 1522617 2030156 2463421 2537695 3045234 4060312 4926842 5075390 6090468 7390263 7613085 9853684 10150780 12180936 12317105 14780526 15226170 19707368 20301560 24634210 29561052 30452340 36951315 49268420 59122104 60904680 73902630 98536840 101000261 147805260 202000522 295610520 303000783 404001044 505001305 606001566 808002088 1010002610 1212003132 1515003915 2020005220 2424006264 3030007830 4040010440 6060015660 12120031320