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201220010012120 = 23511655643697511
BaseRepresentation
bin101101110000001000101111…
…001101111110110111011000
3222101110110000110201002211212
4231300020233031332313120
5202333242040030341440
61551543110234042252
760245444300314361
oct5560105715766730
9871413013632755
10201220010012120
1159129a21947740
121a699952279388
138837c72348738
1437991598bcb68
15183e2da822465
hexb7022f37edd8

201220010012120 has 64 divisors (see below), whose sum is σ = 493905122346240. Its totient is φ = 73170696227200.

The previous prime is 201220010012069. The next prime is 201220010012159. The reversal of 201220010012120 is 21210010022102.

It is a junction number, because it is equal to n+sod(n) for n = 201220010012095 and 201220010012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288134165 + ... + 288831675.

It is an arithmetic number, because the mean of its divisors is an integer number (7717267536660).

Almost surely, 2201220010012120 is an apocalyptic number.

201220010012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220010012120 is an abundant number, since it is smaller than the sum of its proper divisors (292685112334120).

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

201220010012120 is a wasteful number, since it uses less digits than its factorization.

201220010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353176 (or 1353172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201220010012120 its reverse (21210010022102), we get a palindrome (222430020034222).

The spelling of 201220010012120 in words is "two hundred one trillion, two hundred twenty billion, ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 655643 697511 1311286 1395022 2622572 2790044 3278215 3487555 5245144 5580088 6556430 6975110 7212073 7672621 13112860 13950220 14424146 15345242 26225720 27900440 28848292 30690484 36060365 38363105 57696584 61380968 72120730 76726210 144241460 153452420 288482920 306904840 457318204573 914636409146 1829272818292 2286591022865 3658545636584 4573182045730 5030500250303 9146364091460 10061000500606 18292728182920 20122001001212 25152501251515 40244002002424 50305002503030 100610005006060 201220010012120