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4321112342120 = 2357397142727241
BaseRepresentation
bin111110111000010110010…
…111011011111001101000
3120022002112202012211110022
4332320112113123321220
51031244114224421440
613105031441540012
7624122122611350
oct76702627337150
916262482184408
104321112342120
1114166342a1aa2
12599563944608
1325462c8b4572
1410d200399b60
1577606da7cb5
hex3ee165dbe68

4321112342120 has 128 divisors (see below), whose sum is σ = 11147635618560. Its totient is φ = 1476702627840.

The previous prime is 4321112342081. The next prime is 4321112342147. The reversal of 4321112342120 is 212432111234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4321112342120.

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, 158611700 + ... + 158638940.

It is an arithmetic number, because the mean of its divisors is an integer number (87090903270).

Almost surely, 24321112342120 is an apocalyptic number.

4321112342120 is a gapful number since it is divisible by the number (40) 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 4321112342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573817809280).

4321112342120 is an abundant number, since it is smaller than the sum of its proper divisors (6826523276440).

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

4321112342120 is a wasteful number, since it uses less digits than its factorization.

4321112342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29083 (or 29079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4321112342120 its reverse (212432111234), we get a palindrome (4533544453354).

The spelling of 4321112342120 in words is "four trillion, three hundred twenty-one billion, one hundred twelve million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 397 794 1427 1588 1985 2779 2854 3176 3970 5558 5708 7135 7940 9989 11116 11416 13895 14270 15880 19978 22232 27241 27790 28540 39956 49945 54482 55580 57080 79912 99890 108964 111160 136205 190687 199780 217928 272410 381374 399560 544820 566519 762748 953435 1089640 1133038 1525496 1906870 2266076 2832595 3813740 3965633 4532152 5665190 7627480 7931266 10814677 11330380 15862532 19828165 21629354 22660760 31725064 38872907 39656330 43258708 54073385 75702739 77745814 79312660 86517416 108146770 151405478 155491628 158625320 194364535 216293540 272110349 302810956 310983256 378513695 388729070 432587080 544220698 605621912 757027390 777458140 1088441396 1360551745 1514054780 1554916280 2176882792 2721103490 3028109560 5442206980 10884413960 15432544079 30865088158 61730176316 77162720395 108027808553 123460352632 154325440790 216055617106 308650881580 432111234212 540139042765 617301763160 864222468424 1080278085530 2160556171060 4321112342120