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122120455220 = 225192917961909
BaseRepresentation
bin111000110111011110…
…0100100010000110100
3102200012210011220012222
41301232330210100310
54000100314031340
6132033521101512
711552154512411
oct1615674442064
9380183156188
10122120455220
11478778a4555
121b801a87898
13b6925b78ba
145ca6bd9108
15329b20d8b5
hex1c6ef24434

122120455220 has 96 divisors (see below), whose sum is σ = 280823760000. Its totient is φ = 44431123968.

The previous prime is 122120455217. The next prime is 122120455229. The reversal of 122120455220 is 22554021221.

It is a self number, because there is not a number n which added to its sum of digits gives 122120455220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120455229) 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, 1941626 + ... + 2003534.

It is an arithmetic number, because the mean of its divisors is an integer number (2925247500).

Almost surely, 2122120455220 is an apocalyptic number.

122120455220 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 122120455220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140411880000).

122120455220 is an abundant number, since it is smaller than the sum of its proper divisors (158703304780).

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

122120455220 is a wasteful number, since it uses less digits than its factorization.

122120455220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62145 (or 62143 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 122120455220 its reverse (22554021221), we get a palindrome (144674476441).

The spelling of 122120455220 in words is "one hundred twenty-two billion, one hundred twenty million, four hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 179 190 290 358 380 551 580 716 895 1102 1790 2204 2755 3401 3580 5191 5510 6802 10382 11020 13604 17005 20764 25955 34010 51910 61909 68020 98629 103820 123818 197258 247636 309545 394516 493145 619090 986290 1176271 1238180 1795361 1972580 2352542 3590722 4705084 5881355 7181444 8976805 11081711 11762710 17953610 22163422 23525420 34111859 35907220 44326844 55408555 68223718 110817110 136447436 170559295 210552509 221634220 321369619 341118590 421105018 642739238 682237180 842210036 1052762545 1285478476 1606848095 2105525090 3213696190 4211050180 6106022761 6427392380 12212045522 24424091044 30530113805 61060227610 122120455220