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22022021012120 = 23519232335407043
BaseRepresentation
bin1010000000111011001101…
…01111010101101010011000
32212222021200111201200022022
411000131212233111222120
510341302044334341440
6114500435441514012
74432016132031323
oct500354657255230
985867614650268
1022022021012120
117020539826198
122578022342908
13c3988ab4609c
14561c2b59b7ba
15282c9b242cb5
hex140766bd5a98

22022021012120 has 128 divisors (see below), whose sum is σ = 54658726387200. Its totient is φ = 7948092201984.

The previous prime is 22022021012107. The next prime is 22022021012161. The reversal of 22022021012120 is 2121012022022.

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, 1369319 + ... + 6776361.

It is an arithmetic number, because the mean of its divisors is an integer number (427021299900).

Almost surely, 222022021012120 is an apocalyptic number.

22022021012120 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 22022021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27329363193600).

22022021012120 is an abundant number, since it is smaller than the sum of its proper divisors (32636705375080).

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

22022021012120 is a wasteful number, since it uses less digits than its factorization.

22022021012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407329 (or 5407325 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022021012120 its reverse (2121012022022), we get a palindrome (24143033034142).

The spelling of 22022021012120 in words is "twenty-two trillion, twenty-two billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 233 380 437 460 466 760 874 920 932 1165 1748 1864 2185 2330 3496 4370 4427 4660 5359 8740 8854 9320 10718 17480 17708 21436 22135 26795 35416 42872 44270 53590 88540 101821 107180 177080 203642 214360 407284 509105 814568 1018210 2036420 4072840 5407043 10814086 21628172 27035215 43256344 54070430 102733817 108140860 124361989 205467634 216281720 248723978 410935268 497447956 513669085 621809945 821870536 994895912 1027338170 1243619890 1259841019 2054676340 2362877791 2487239780 2519682038 4109352680 4725755582 4974479560 5039364076 6299205095 9451511164 10078728152 11814388955 12598410190 18903022328 23628777910 23936979361 25196820380 28976343437 47257555820 47873958722 50393640760 57952686874 94515111640 95747917444 115905373748 119684896805 144881717185 191495834888 231810747496 239369793610 289763434370 478739587220 550550525303 579526868740 957479174440 1101101050606 1159053737480 2202202101212 2752752626515 4404404202424 5505505253030 11011010506060 22022021012120