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1222121232112 = 241122331885359
BaseRepresentation
bin10001110010001100000…
…110100001011011110000
311022211111201201010122111
4101302030012201123300
5130010401013411422
62333233523215104
7154203206034064
oct21621406413360
94284451633574
101222121232112
11431331636200
12178a31b17494
138b3265a5671
1443218425aa4
1521bcbcb4a77
hex11c8c1a16f0

1222121232112 has 120 divisors (see below), whose sum is σ = 2803460567040. Its totient is φ = 514215926400.

The previous prime is 1222121232103. The next prime is 1222121232149. The reversal of 1222121232112 is 2112321212221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937689 + ... + 1823047.

It is an arithmetic number, because the mean of its divisors is an integer number (23362171392).

Almost surely, 21222121232112 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 1222121232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401730283520).

1222121232112 is an abundant number, since it is smaller than the sum of its proper divisors (1581339334928).

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

1222121232112 is a wasteful number, since it uses less digits than its factorization.

1222121232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885443 (or 885426 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

Adding to 1222121232112 its reverse (2112321212221), we get a palindrome (3334442444333).

The spelling of 1222121232112 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 121 124 176 184 242 248 253 341 368 484 496 506 682 713 968 1012 1364 1426 1936 2024 2728 2783 2852 3751 4048 5456 5566 5704 7502 7843 11132 11408 15004 15686 22264 30008 31372 44528 60016 62744 86273 125488 172546 345092 690184 885359 1380368 1770718 3541436 7082872 9738949 14165744 19477898 20363257 27446129 38955796 40726514 54892258 77911592 81453028 107128439 109784516 155823184 162906056 214256878 219569032 223995827 301907419 325812112 428513756 439138064 447991654 603814838 631260967 857027512 895983308 1207629676 1262521934 1714055024 1791966616 2415259352 2463954097 2525043868 3320981609 3583933232 4830518704 4927908194 5050087736 6641963218 6943870637 9855816388 10100175472 13283926436 13887741274 19711632776 26567852872 27775482548 39423265552 53135705744 55550965096 76382577007 111101930192 152765154014 305530308028 611060616056 1222121232112