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2012122222278 = 2374967144439
BaseRepresentation
bin11101010001111011110…
…101001000111011000110
321010100122020221112202120
4131101323311020323012
5230431311242103103
64140204534150410
7265241156460000
oct35217365107306
97110566845676
102012122222278
117063775a1903
12285b677b2406
13117985b2046c
146d55c805370
1537517342253
hex1d47bd48ec6

2012122222278 has 80 divisors (see below), whose sum is σ = 4699559927040. Its totient is φ = 574293576528.

The previous prime is 2012122222277. The next prime is 2012122222373. The reversal of 2012122222278 is 8722222212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012122222277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13858383 + ... + 14002821.

It is an arithmetic number, because the mean of its divisors is an integer number (58744499088).

Almost surely, 22012122222278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122222278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349779963520).

2012122222278 is an abundant number, since it is smaller than the sum of its proper divisors (2687437704762).

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

2012122222278 is an equidigital number, since it uses as much as digits as its factorization.

2012122222278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145439 (or 145418 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 2012122222278 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 967 1029 1934 2058 2401 2901 4802 5802 6769 7203 13538 14406 20307 40614 47383 94766 142149 144439 284298 288878 331681 433317 663362 866634 995043 1011073 1990086 2022146 2321767 3033219 4643534 6066438 6965301 7077511 13930602 14155022 21232533 42465066 49542577 99085154 139672513 148627731 279345026 297255462 346798039 419017539 693596078 838035078 977707591 1040394117 1955415182 2080788234 2933122773 5866245546 6843953137 13687906274 20531859411 41063718822 47907671959 95815343918 143723015877 287446031754 335353703713 670707407426 1006061111139 2012122222278