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22120202120 = 23517591733187
BaseRepresentation
bin10100100110011101…
…110111111110001000
32010002121001200210012
4110212131313332020
5330300232431440
614054544411052
71412105421122
oct244635677610
963077050705
1022120202120
119421306285
124354016a88
132116a19bc3
1410dbb10212
15896e73e65
hex526777f88

22120202120 has 128 divisors (see below), whose sum is σ = 53918006400. Its totient is φ = 8136585216.

The previous prime is 22120202119. The next prime is 22120202129. The reversal of 22120202120 is 2120202122.

It is a junction number, because it is equal to n+sod(n) for n = 22120202095 and 22120202104.

It is not an unprimeable number, because it can be changed into a prime (22120202129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6939167 + ... + 6942353.

It is an arithmetic number, because the mean of its divisors is an integer number (421234425).

Almost surely, 222120202120 is an apocalyptic number.

22120202120 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 22120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26959003200).

22120202120 is an abundant number, since it is smaller than the sum of its proper divisors (31797804280).

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

22120202120 is a wasteful number, since it uses less digits than its factorization.

22120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120202120 its reverse (2120202122), we get a palindrome (24240404242).

The spelling of 22120202120 in words is "twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 173 236 295 340 346 472 590 680 692 865 1003 1180 1384 1730 2006 2360 2941 3187 3460 4012 5015 5882 6374 6920 8024 10030 10207 11764 12748 14705 15935 20060 20414 23528 25496 29410 31870 40120 40828 51035 54179 58820 63740 81656 102070 108358 117640 127480 173519 188033 204140 216716 270895 347038 376066 408280 433432 541790 551351 694076 752132 867595 940165 1083580 1102702 1388152 1504264 1735190 1880330 2167160 2205404 2756755 3196561 3470380 3760660 4410808 5513510 6393122 6940760 7521320 9372967 11027020 12786244 15982805 18745934 22054040 25572488 31965610 32529709 37491868 46864835 63931220 65059418 74983736 93729670 127862440 130118836 162648545 187459340 260237672 325297090 374918680 553005053 650594180 1106010106 1301188360 2212020212 2765025265 4424040424 5530050530 11060101060 22120202120