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22010122120 = 2357197158271
BaseRepresentation
bin10100011111111001…
…111100111110001000
32002210220221001102011
4110133321330332020
5330034042401440
614040013145304
71406300644150
oct243771747610
962726831364
1022010122120
11937515a578
12432318b234
1320c9c872cc
1410cb257760
1588c47c9ea
hex51fe7cf88

22010122120 has 128 divisors (see below), whose sum is σ = 60416409600. Its totient is φ = 7048339200.

The previous prime is 22010122111. The next prime is 22010122133. The reversal of 22010122120 is 2122101022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22010122120.

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, 348585 + ... + 406855.

It is an arithmetic number, because the mean of its divisors is an integer number (472003200).

Almost surely, 222010122120 is an apocalyptic number.

22010122120 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 22010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30208204800).

22010122120 is an abundant number, since it is smaller than the sum of its proper divisors (38406287480).

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

22010122120 is a wasteful number, since it uses less digits than its factorization.

22010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58379 (or 58375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22010122120 its reverse (2122101022), we get a palindrome (24132223142).

The spelling of 22010122120 in words is "twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 71 76 95 133 140 142 152 190 266 280 284 355 380 497 532 568 665 710 760 994 1064 1330 1349 1420 1988 2485 2660 2698 2840 3976 4970 5320 5396 6745 9443 9940 10792 13490 18886 19880 26980 37772 47215 53960 58271 75544 94430 116542 188860 233084 291355 377720 407897 466168 582710 815794 1107149 1165420 1631588 2039485 2214298 2330840 3263176 4078970 4137241 4428596 5535745 7750043 8157940 8274482 8857192 11071490 15500086 16315880 16548964 20686205 22142980 28960687 31000172 33097928 38750215 41372410 44285960 57921374 62000344 77500430 78607579 82744820 115842748 144803435 155000860 157215158 165489640 231685496 289606870 310001720 314430316 393037895 550253053 579213740 628860632 786075790 1100506106 1158427480 1572151580 2201012212 2751265265 3144303160 4402024424 5502530530 11005061060 22010122120