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122220201020202 = 232191313787972019
BaseRepresentation
bin11011110010100010011011…
…101010101000101100101010
3121000202010200221200201112100
4123302202123222220230222
5112004423432430121302
61111535104001554230
734513055342366655
oct3362423352505452
9530663627621470
10122220201020202
1135a4132922470a
121185b116045976
13532741420b5ac
1422276bc89289c
15e1e3642ced1c
hex6f289baa8b2a

122220201020202 has 96 divisors (see below), whose sum is σ = 280886988096000. Its totient is φ = 38299685168160.

The previous prime is 122220201020161. The next prime is 122220201020257. The reversal of 122220201020202 is 202020102022221.

122220201020202 is a `hidden beast` number, since 1 + 22 + 220 + 201 + 0 + 20 + 202 = 666.

It is a super-2 number, since 2×1222202010202022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1697018949 + ... + 1697090967.

It is an arithmetic number, because the mean of its divisors is an integer number (2925906126000).

Almost surely, 2122220201020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220201020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140443494048000).

122220201020202 is an abundant number, since it is smaller than the sum of its proper divisors (158666787075798).

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

122220201020202 is a wasteful number, since it uses less digits than its factorization.

122220201020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110056 (or 110053 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122220201020202 its reverse (202020102022221), we get a palindrome (324240303042423).

The spelling of 122220201020202 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred one million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 786 1179 2358 2489 4978 7467 14934 22401 37879 44802 72019 75758 113637 144038 216057 227274 340911 432114 648171 681822 719701 1296342 1368361 1439402 2159103 2736722 4105083 4318206 4962149 6477309 8210166 9434489 9924298 12315249 12954618 14886447 18868978 24630498 28303467 29772894 44659341 56606934 84910401 89318682 94280831 169820802 179255291 188561662 282842493 358510582 537765873 565684986 848527479 1075531746 1613297619 1697054958 2728007701 3226595238 5456015402 8184023103 16368046206 24552069309 49104138618 51832146319 103664292638 155496438957 310992877914 357369008831 466489316871 714738017662 932978633742 1072107026493 2144214052986 3216321079479 6432642158958 6790011167789 13580022335578 20370033503367 40740067006734 61110100510101 122220201020202