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123222210020 = 225721383116531
BaseRepresentation
bin111001011000010011…
…1011011010111100100
3102210001120022211200022
41302300213123113210
54004324341210040
6132335115334312
711621363334500
oct1626047332744
9383046284608
10123222210020
11482927a8208
121ba6aa51398
13b809931210
145d6d273300
153312cde6b5
hex1cb09db5e4

123222210020 has 144 divisors (see below), whose sum is σ = 328077667008. Its totient is φ = 38527614720.

The previous prime is 123222210011. The next prime is 123222210061. The reversal of 123222210020 is 20012222321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999155 + ... + 1115685.

It is an arithmetic number, because the mean of its divisors is an integer number (2278317132).

Almost surely, 2123222210020 is an apocalyptic number.

123222210020 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 123222210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164038833504).

123222210020 is an abundant number, since it is smaller than the sum of its proper divisors (204855456988).

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

123222210020 is a wasteful number, since it uses less digits than its factorization.

123222210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116650 (or 116641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 123222210020 its reverse (20012222321), we get a palindrome (143234432341).

The spelling of 123222210020 in words is "one hundred twenty-three billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 83 91 98 130 140 166 182 196 245 260 332 364 415 455 490 581 637 830 910 980 1079 1162 1274 1660 1820 2158 2324 2548 2905 3185 4067 4316 5395 5810 6370 7553 8134 10790 11620 12740 15106 16268 20335 21580 30212 37765 40670 52871 75530 81340 105742 116531 151060 211484 233062 264355 466124 528710 582655 815717 1057420 1165310 1514903 1631434 2330620 3029806 3262868 4078585 5710019 6059612 7574515 8157170 9672073 10604321 11420038 15149030 16314340 19344146 21208642 22840076 28550095 30298060 38688292 42417284 48360365 53021605 57100190 67704511 74230247 96720730 106043210 114200380 125736949 135409022 148460494 193441460 212086420 251473898 270818044 296920988 338522555 371151235 473931577 502947796 628684745 677045110 742302470 880158643 947863154 1257369490 1354090220 1484604940 1760317286 1895726308 2369657885 2514738980 3520634572 4400793215 4739315770 6161110501 8801586430 9478631540 12322221002 17603172860 24644442004 30805552505 61611105010 123222210020