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12322013120 = 265591574157
BaseRepresentation
bin10110111100111001…
…01111111111000000
31011210202001010022022
423132130233333000
5200213413404440
65354411301012
7614231245334
oct133634577700
934722033268
1012322013120
11525350091a
12247a74a768
131214a9c131
1484c6c17c4
154c1b7bcb5
hex2de72ffc0

12322013120 has 112 divisors (see below), whose sum is σ = 30036394080. Its totient is φ = 4813246464.

The previous prime is 12322013063. The next prime is 12322013129. The reversal of 12322013120 is 2131022321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322013129) 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, 2962082 + ... + 2966238.

It is an arithmetic number, because the mean of its divisors is an integer number (268182090).

Almost surely, 212322013120 is an apocalyptic number.

12322013120 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 12322013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018197040).

12322013120 is an abundant number, since it is smaller than the sum of its proper divisors (17714380960).

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

12322013120 is a wasteful number, since it uses less digits than its factorization.

12322013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12322013120 its reverse (2131022321), we get a palindrome (14453035441).

It can be divided in two parts, 1232201 and 3120, that added together give a palindrome (1235321).

The spelling of 12322013120 in words is "twelve billion, three hundred twenty-two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 157 160 236 295 314 320 472 590 628 785 944 1180 1256 1570 1888 2360 2512 3140 3776 4157 4720 5024 6280 8314 9263 9440 10048 12560 16628 18526 18880 20785 25120 33256 37052 41570 46315 50240 66512 74104 83140 92630 133024 148208 166280 185260 245263 266048 296416 332560 370520 490526 592832 652649 665120 741040 981052 1226315 1305298 1330240 1482080 1962104 2452630 2610596 2964160 3263245 3924208 4905260 5221192 6526490 7848416 9810520 10442384 13052980 15696832 19621040 20884768 26105960 38506291 39242080 41769536 52211920 77012582 78484160 104423840 154025164 192531455 208847680 308050328 385062910 616100656 770125820 1232201312 1540251640 2464402624 3080503280 6161006560 12322013120