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20120013223320 = 23351078467185069
BaseRepresentation
bin1001001001100100011100…
…01111011011010110011000
32122020110021022111221010210
410210302032033123112120
510114121241341121240
6110443001222011120
74144423453420143
oct444621617332630
978213238457123
1020120013223320
116457938a3401a
12230b487876aa0
13b2c40314ab4a
144d7b5724705a
1524d57b09e780
hex124c8e3db598

20120013223320 has 128 divisors (see below), whose sum is σ = 60931676908800. Its totient is φ = 5314537053696.

The previous prime is 20120013223291. The next prime is 20120013223333. The reversal of 20120013223320 is 2332231002102.

It is a happy number.

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, 108623746 + ... + 108808814.

It is an arithmetic number, because the mean of its divisors is an integer number (476028725850).

Almost surely, 220120013223320 is an apocalyptic number.

20120013223320 is a gapful number since it is divisible by the number (20) 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 20120013223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30465838454400).

20120013223320 is an abundant number, since it is smaller than the sum of its proper divisors (40811663685480).

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

20120013223320 is a wasteful number, since it uses less digits than its factorization.

20120013223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193657 (or 193653 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20120013223320 its reverse (2332231002102), we get a palindrome (22452244225422).

The spelling of 20120013223320 in words is "twenty trillion, one hundred twenty billion, thirteen million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 8467 12840 16934 25401 33868 42335 50802 67736 84670 101604 127005 169340 185069 203208 254010 338680 370138 508020 555207 740276 905969 925345 1016040 1110414 1480552 1811938 1850690 2220828 2717907 2776035 3623876 3701380 4441656 4529845 5435814 5552070 7247752 7402760 9059690 10871628 11104140 13589535 18119380 19802383 21743256 22208280 27179070 36238760 39604766 54358140 59407149 79209532 99011915 108716280 118814298 158419064 198023830 237628596 297035745 396047660 475257192 594071490 792095320 1188142980 1566979223 2376285960 3133958446 4700937669 6267916892 7834896115 9401875338 12535833784 15669792230 18803750676 23504688345 31339584460 37607501352 47009376690 62679168920 94018753380 167666776861 188037506760 335333553722 503000330583 670667107444 838333884305 1006000661166 1341334214888 1676667768610 2012001322332 2515001652915 3353335537220 4024002644664 5030003305830 6706671074440 10060006611660 20120013223320