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122201102010112 = 282320754263249
BaseRepresentation
bin11011110010010000101001…
…010001101100011100000000
3121000200022101220112111002021
4123302100221101230130000
5112004120324103310422
61111522224455531224
734511511140443546
oct3362205121543400
9530608356474067
10122201102010112
1135a34218343754
1211857485989b14
13532568c3b5aa8
1422267ca103d96
15e1dae76d8dc7
hex6f242946c700

122201102010112 has 36 divisors (see below), whose sum is σ = 254530284498000. Its totient is φ = 58444005306368.

The previous prime is 122201102010101. The next prime is 122201102010179. The reversal of 122201102010112 is 211010201102221.

It is a super-3 number, since 3×1222011020101123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10377125737 + ... + 10377137512.

It is an arithmetic number, because the mean of its divisors is an integer number (7070285680500).

Almost surely, 2122201102010112 is an apocalyptic number.

It is an amenable number.

122201102010112 is an abundant number, since it is smaller than the sum of its proper divisors (132329182487888).

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

122201102010112 is an equidigital number, since it uses as much as digits as its factorization.

122201102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20754263288 (or 20754263274 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122201102010112 its reverse (211010201102221), we get a palindrome (333211303112333).

The spelling of 122201102010112 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 20754263249 41508526498 83017052996 166034105992 332068211984 477348054727 664136423968 954696109454 1328272847936 1909392218908 2656545695872 3818784437816 5313091391744 7637568875632 15275137751264 30550275502528 61100551005056 122201102010112