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222120001012 = 227136113773019
BaseRepresentation
bin1100111011011101100…
…0100011110111110100
3210020022220222011102011
43032313120203313310
512114400210013022
6250012430254004
722022224566610
oct3166730436764
9706286864364
10222120001012
1186222a4a378
123706b657304
1317c3ac98680
14aa71b7c340
155ba03a8977
hex33b7623df4

222120001012 has 96 divisors (see below), whose sum is σ = 489811150080. Its totient is φ = 85799070720.

The previous prime is 222120001009. The next prime is 222120001039. The reversal of 222120001012 is 210100021222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 222120000983 and 222120001001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3005439 + ... + 3078457.

It is an arithmetic number, because the mean of its divisors is an integer number (5102199480).

Almost surely, 2222120001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244905575040).

222120001012 is an abundant number, since it is smaller than the sum of its proper divisors (267691149068).

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

222120001012 is a wasteful number, since it uses less digits than its factorization.

222120001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73241 (or 73239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222120001012 its reverse (210100021222), we get a palindrome (432220022234).

The spelling of 222120001012 in words is "two hundred twenty-two billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 137 182 244 274 364 427 548 793 854 959 1586 1708 1781 1918 3172 3562 3836 5551 7124 8357 11102 12467 16714 22204 24934 33428 49868 58499 73019 108641 116998 146038 217282 233996 292076 434564 511133 760487 949247 1022266 1520974 1898494 2044532 3041948 3796988 4454159 6644729 8908318 10003603 13289458 17816636 20007206 26578916 31179113 40014412 57904067 62358226 70025221 115808134 124716452 130046839 140050442 231616268 260093678 280100884 405328469 520187356 610219783 810656938 910327873 1220439566 1621313876 1820655746 2440879132 3641311492 4271538481 7932857179 8543076962 15865714358 17086153924 31731428716 55530000253 111060000506 222120001012