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120102224240 = 245171573471621
BaseRepresentation
bin110111111011010100…
…1101000000101110000
3102111000010112010210102
41233312221220011300
53431432132133430
6131101343251532
711451150030155
oct1576651500560
9374003463712
10120102224240
1146a31635769
121b339ba9ba8
13b43042939b
145b54b5622c
1531cde49345
hex1bf6a68170

120102224240 has 160 divisors (see below), whose sum is σ = 298588192704. Its totient is φ = 44769853440.

The previous prime is 120102224219. The next prime is 120102224309. The reversal of 120102224240 is 42422201021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74090630 + ... + 74092250.

Almost surely, 2120102224240 is an apocalyptic number.

120102224240 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 120102224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149294096352).

120102224240 is an abundant number, since it is smaller than the sum of its proper divisors (178485968464).

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

120102224240 is a wasteful number, since it uses less digits than its factorization.

120102224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 120102224240 its reverse (42422201021), we get a palindrome (162524425261).

The spelling of 120102224240 in words is "one hundred twenty billion, one hundred two million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 157 170 272 314 340 347 628 680 694 785 1256 1360 1388 1570 1621 1735 2512 2669 2776 3140 3242 3470 5338 5552 5899 6280 6484 6940 8105 10676 11798 12560 12968 13345 13880 16210 21352 23596 25936 26690 27557 27760 29495 32420 42704 47192 53380 54479 55114 58990 64840 94384 106760 108958 110228 117980 129680 137785 213520 217916 220456 235960 254497 272395 275570 435832 440912 471920 508994 544790 551140 562487 871664 926143 1017988 1089580 1102280 1124974 1272485 1852286 2035976 2179160 2204560 2249948 2544970 2812435 3704572 4071952 4326449 4358320 4499896 4630715 5089940 5624870 7409144 8652898 8999792 9261430 9562279 10179880 11249740 14818288 17305796 18522860 19124558 20359760 21632245 22499480 34611592 37045720 38249116 43264490 44998960 47811395 69223184 74091440 76498232 86528980 88310459 95622790 152996464 173057960 176620918 191245580 346115920 353241836 382491160 441552295 706483672 764982320 883104590 1412967344 1501277803 1766209180 3002555606 3532418360 6005111212 7064836720 7506389015 12010222424 15012778030 24020444848 30025556060 60051112120 120102224240