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122201212021122 = 231343241491307903
BaseRepresentation
bin11011110010010000101111…
…110101010110100110000010
3121000200022200120112121211010
4123302100233311112212002
5112004121040234133442
61111522243425501350
734511513644512423
oct3362205765264602
9530608616477733
10122201212021122
1135a34274452643
12118574b67a1856
1353256a9123170
1422267da97d64a
15e1db021b9b9c
hex6f242fd56982

122201212021122 has 128 divisors (see below), whose sum is σ = 270992803479552. Its totient is φ = 36498949401600.

The previous prime is 122201212021121. The next prime is 122201212021123. The reversal of 122201212021122 is 221120212102221.

It is an interprime number because it is at equal distance from previous prime (122201212021121) and next prime (122201212021123).

It is not an unprimeable number, because it can be changed into a prime (122201212021121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396728223 + ... + 397036125.

It is an arithmetic number, because the mean of its divisors is an integer number (2117131277184).

Almost surely, 2122201212021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201212021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135496401739776).

122201212021122 is an abundant number, since it is smaller than the sum of its proper divisors (148791591458430).

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

122201212021122 is a wasteful number, since it uses less digits than its factorization.

122201212021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308696.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122201212021122 its reverse (221120212102221), we get a palindrome (343321424123343).

The spelling of 122201212021122 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twelve million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 241 258 482 491 559 723 982 1118 1446 1473 1677 2946 3133 3354 6266 6383 9399 10363 12766 18798 19149 20726 21113 31089 38298 42226 62178 63339 118331 126678 134719 236662 269438 274469 307903 354993 404157 548938 615806 709986 808314 823407 923709 1538303 1646814 1847418 3076606 4002739 4614909 5088233 8005478 9229818 10176466 12008217 13239829 15264699 24016434 26479658 30529398 39719487 66147029 74204623 79438974 132294058 148409246 151180373 172117777 198441087 222613869 302360746 344235554 396882174 445227738 453541119 516353331 907082238 964660099 1032706662 1929320198 1965344849 2893980297 3190798789 3930689698 5787960594 5896034547 6381597578 6500756039 9572396367 11792069094 13001512078 19144792734 19502268117 36434469893 39004536234 41480384257 72868939786 82960768514 84509828507 109303409679 124441152771 169019657014 218606819358 248882305542 253529485521 473648108609 507058971042 947296217218 1420944325827 1566682205399 2841888651654 3133364410798 4700046616197 9400093232394 20366868670187 40733737340374 61100606010561 122201212021122