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122092105481652 = 223195959871515973
BaseRepresentation
bin11011110000101011001000…
…100100111011110110110100
3121000021220001202100010212210
4123300223020210323312310
5112000324113000403102
61111400201114013420
734500602122313235
oct3360531044736664
9530256052303783
10122092105481652
11359a1a75678669
121183a327117270
13531830ba70237
14222140a2d308c
15e1ad6875b36c
hex6f0ac893bdb4

122092105481652 has 96 divisors (see below), whose sum is σ = 305009117683200. Its totient is φ = 37895564644992.

The previous prime is 122092105481629. The next prime is 122092105481677. The reversal of 122092105481652 is 256184501290221.

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, 79779138 + ... + 81295110.

It is an arithmetic number, because the mean of its divisors is an integer number (3177178309200).

Almost surely, 2122092105481652 is an apocalyptic number.

122092105481652 is a gapful number since it is divisible by the number (12) 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 122092105481652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152504558841600).

122092105481652 is an abundant number, since it is smaller than the sum of its proper divisors (182917012201548).

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

122092105481652 is a wasteful number, since it uses less digits than its factorization.

122092105481652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522045 (or 1522043 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 122092105481652 in words is "one hundred twenty-two trillion, ninety-two billion, one hundred five million, four hundred eighty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 4484 5987 6726 11974 13452 17961 23948 35922 71844 113753 227506 341259 353233 455012 682518 706466 1059699 1365036 1412932 1515973 2119398 3031946 4238796 4547919 6063892 6711427 9095838 13422854 18191676 20134281 26845708 28803487 40268562 57606974 80537124 86410461 89442407 115213948 172820922 178884814 268327221 345641844 357769628 536654442 1073308884 1699405733 3398811466 5098217199 6797622932 9076130351 10196434398 18152260702 20392868796 27228391053 36304521404 54456782106 108913564212 172446476669 344892953338 517339430007 535491690709 689785906676 1034678860014 1070983381418 1606475072127 2069357720028 2141966762836 3212950144254 6425900288508 10174342123471 20348684246942 30523026370413 40697368493884 61046052740826 122092105481652