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212212313331012 = 22344050716169459
BaseRepresentation
bin110000010000000110000111…
…100011011001010101000100
31000211101022001222200212120000
4300100012013203121111010
5210303341304203043022
62031200554011041300
762461555645012341
oct6020060743312504
91024338058625500
10212212313331012
116168781156a175
121b974202440230
1391546c6019cc7
143a591b8b857c8
1519801e14486ac
hexc101878d9544

212212313331012 has 60 divisors (see below), whose sum is σ = 554778635370960. Its totient is φ = 70735687100784.

The previous prime is 212212313331001. The next prime is 212212313331017. The reversal of 212212313331012 is 210133313212212.

212212313331012 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 2 + 313 + 331 + 0 + 12 = 666.

It is a super-2 number, since 2×2122123133310122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212212313331017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5039539 + ... + 21208997.

It is an arithmetic number, because the mean of its divisors is an integer number (9246310589516).

Almost surely, 2212212313331012 is an apocalyptic number.

It is an amenable number.

212212313331012 is an abundant number, since it is smaller than the sum of its proper divisors (342566322039948).

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

212212313331012 is a wasteful number, since it uses less digits than its factorization.

212212313331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209982 (or 16209971 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212212313331012 its reverse (210133313212212), we get a palindrome (422345626543224).

The spelling of 212212313331012 in words is "two hundred twelve trillion, two hundred twelve billion, three hundred thirteen million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40507 81014 121521 162028 243042 364563 486084 729126 1093689 1458252 2187378 3281067 4374756 6562134 13124268 16169459 32338918 48508377 64677836 97016754 145525131 194033508 291050262 436575393 582100524 873150786 1309726179 1746301572 2619452358 5238904716 654976275713 1309952551426 1964928827139 2619905102852 3929857654278 5894786481417 7859715308556 11789572962834 17684359444251 23579145925668 35368718888502 53053078332753 70737437777004 106106156665506 212212313331012