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120222122220 = 223251816735483
BaseRepresentation
bin110111111110111001…
…1000000000011101100
3102111022111010120220100
41233331303000003230
53432203330402340
6131121305151100
711454134115024
oct1577563000354
9374274116810
10120222122220
1146a93287902
121b37218b490
13b44c218a35
145b66a46a84
1531d972e830
hex1bfdcc00ec

120222122220 has 144 divisors (see below), whose sum is σ = 367300376352. Its totient is φ = 31828930560.

The previous prime is 120222122213. The next prime is 120222122221. The reversal of 120222122220 is 22221222021.

120222122220 is a `hidden beast` number, since 1 + 202 + 221 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120222122193 and 120222122202.

It is not an unprimeable number, because it can be changed into a prime (120222122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21923599 + ... + 21929081.

It is an arithmetic number, because the mean of its divisors is an integer number (2550697058).

Almost surely, 2120222122220 is an apocalyptic number.

120222122220 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 120222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183650188176).

120222122220 is an abundant number, since it is smaller than the sum of its proper divisors (247078254132).

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

120222122220 is a wasteful number, since it uses less digits than its factorization.

120222122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120222122220 its reverse (22221222021), we get a palindrome (142443344241).

The spelling of 120222122220 in words is "one hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 673 724 905 1086 1346 1629 1810 2019 2172 2692 2715 3258 3365 3620 4038 5430 5483 6057 6516 6730 8076 8145 10095 10860 10966 12114 13460 16290 16449 20190 21932 24228 27415 30285 32580 32898 40380 49347 54830 60570 65796 82245 98694 109660 121140 121813 164490 197388 243626 246735 328980 365439 487252 493470 609065 730878 986940 992423 1096317 1218130 1461756 1827195 1984846 2192634 2436260 2977269 3654390 3690059 3969692 4385268 4962115 5481585 5954538 7308780 7380118 8931807 9924230 10963170 11070177 11909076 14760236 14886345 17863614 18450295 19848460 21926340 22140354 29772690 33210531 35727228 36900590 44280708 44659035 55350885 59545380 66421062 73801180 89318070 110701770 132842124 166052655 178636140 221403540 332105310 664210620 667900679 1335801358 2003702037 2671602716 3339503395 4007404074 6011106111 6679006790 8014808148 10018510185 12022212222 13358013580 20037020370 24044424444 30055530555 40074040740 60111061110 120222122220