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122101212220212 = 22381917312421187
BaseRepresentation
bin11011110000110011100111…
…011000011000101100110100
3121000022202120102021101200010
4123300303213120120230310
5112001001240312021322
61111404304511020220
734501343602313361
oct3360634730305464
9530282512241603
10122101212220212
11359a5919143085
1211840048b0a670
135319130683234
142221a31971468
15e1b1ecebe20c
hex6f0ce7618b34

122101212220212 has 24 divisors (see below), whose sum is σ = 284903199243936. Its totient is φ = 40700351111968.

The previous prime is 122101212220151. The next prime is 122101212220213. The reversal of 122101212220212 is 212022212101221.

It is a super-3 number, since 3×1221012122202123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101212220213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3619483 + ... + 16040669.

It is an arithmetic number, because the mean of its divisors is an integer number (11870966635164).

Almost surely, 2122101212220212 is an apocalyptic number.

122101212220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122101212220212 is an abundant number, since it is smaller than the sum of its proper divisors (162801987023724).

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

122101212220212 is a wasteful number, since it uses less digits than its factorization.

122101212220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240367 (or 13240365 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122101212220212 its reverse (212022212101221), we get a palindrome (334123424321433).

The spelling of 122101212220212 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 819173 1638346 2457519 3276692 4915038 9830076 12421187 24842374 37263561 49684748 74527122 149054244 10175101018351 20350202036702 30525303055053 40700404073404 61050606110106 122101212220212