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2012112202221 = 3211232325911789
BaseRepresentation
bin11101010001111011001…
…110111010100111101101
321010100121120002110211100
4131101323032322213231
5230431301210432341
64140203535313313
7265241005345002
oct35217316724755
97110546073740
102012112202221
11706371978670
12285b6437b839
13117983a22734
146d55b3578a9
15375165133b6
hex1d47b3ba9ed

2012112202221 has 72 divisors (see below), whose sum is σ = 3315745087200. Its totient is φ = 1165985029440.

The previous prime is 2012112202189. The next prime is 2012112202249. The reversal of 2012112202221 is 1222022112102.

It is a happy number.

2012112202221 is a `hidden beast` number, since 201 + 21 + 1 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 2012112202221 - 25 = 2012112202189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012112202194 and 2012112202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012112202271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170671195 + ... + 170682983.

It is an arithmetic number, because the mean of its divisors is an integer number (46052015100).

Almost surely, 22012112202221 is an apocalyptic number.

It is an amenable number.

2012112202221 is a deficient number, since it is larger than the sum of its proper divisors (1303632884979).

2012112202221 is a wasteful number, since it uses less digits than its factorization.

2012112202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2012112202221 its reverse (1222022112102), we get a palindrome (3234134314323).

The spelling of 2012112202221 in words is "two trillion, twelve billion, one hundred twelve million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 529 759 1587 2277 3259 4761 5819 9777 11789 17457 29331 35367 35849 52371 74957 106101 107547 129679 224871 271147 322641 389037 674613 813441 824527 1167111 1724011 2440323 2473581 2982617 5172033 6236381 7420743 8947851 15516099 18709143 18964121 26843553 38420351 56127429 56892363 68600191 115261053 170677089 205800573 345783159 422623861 617401719 883668073 1267871583 2651004219 3803614749 7953012657 9720348803 20324365679 29161046409 60973097037 87483139227 182919291111 223568022469 670704067407 2012112202221