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122002506860 = 225132323985363
BaseRepresentation
bin111000110011111101…
…0101000010001101100
3102122220120020111111012
41301213322220101230
53444330120204420
6132014105044352
711546223124553
oct1614772502154
9378816214435
10122002506860
1147817264173
121b78a4866b8
13b67402b780
145c95294d9a
153290bb0dc5
hex1c67ea846c

122002506860 has 96 divisors (see below), whose sum is σ = 289117624320. Its totient is φ = 42907721472.

The previous prime is 122002506817. The next prime is 122002506869. The reversal of 122002506860 is 68605200221.

It is a super-3 number, since 3×1220025068603 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (122002506869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386539 + ... + 1471901.

It is an arithmetic number, because the mean of its divisors is an integer number (3011641920).

Almost surely, 2122002506860 is an apocalyptic number.

122002506860 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 122002506860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144558812160).

122002506860 is an abundant number, since it is smaller than the sum of its proper divisors (167115117460).

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

122002506860 is a wasteful number, since it uses less digits than its factorization.

122002506860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85647 (or 85645 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 122002506860 in words is "one hundred twenty-two billion, two million, five hundred six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 239 260 299 460 478 598 956 1195 1196 1495 2390 2990 3107 4780 5497 5980 6214 10994 12428 15535 21988 27485 31070 54970 62140 71461 85363 109940 142922 170726 285844 341452 357305 426815 714610 853630 1109719 1429220 1707260 1963349 2219438 3926698 4438876 5548595 7853396 9816745 11097190 19633490 20401757 22194380 25523537 39266980 40803514 51047074 81607028 102008785 102094148 127617685 204017570 255235370 265222841 408035140 469240411 510470740 530445682 938480822 1060891364 1326114205 1876961644 2346202055 2652228410 4692404110 5304456820 6100125343 9384808220 12200250686 24400501372 30500626715 61001253430 122002506860