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22121321233312 = 257211468037433
BaseRepresentation
bin1010000011110100001010…
…11111100111101110100000
32220022202222220121120111101
411001322011133213232200
510344413431213431222
6115014221130124144
74442132651006350
oct501720537475640
986282886546441
1022121321233312
1170596661530a4
122593315880654
13c46054693012
1456696b700b60
1528565dd00927
hex141e857e7ba0

22121321233312 has 48 divisors (see below), whose sum is σ = 50008863748032. Its totient is φ = 9435634629120.

The previous prime is 22121321233273. The next prime is 22121321233313. The reversal of 22121321233312 is 21333212312122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22121321233313) 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 7 ways as a sum of consecutive naturals, for example, 233971453 + ... + 234065980.

It is an arithmetic number, because the mean of its divisors is an integer number (1041851328084).

Almost surely, 222121321233312 is an apocalyptic number.

It is an amenable number.

22121321233312 is an abundant number, since it is smaller than the sum of its proper divisors (27887542514720).

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

22121321233312 is a wasteful number, since it uses less digits than its factorization.

22121321233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468037661 (or 468037653 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 22121321233312 its reverse (21333212312122), we get a palindrome (43454533545434).

It can be divided in two parts, 221213 and 21233312, that added together give a triangular number (21454525 = T6550).

The spelling of 22121321233312 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred twenty-one million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2954 3376 5908 6752 11816 23632 47264 468037433 936074866 1872149732 3276262031 3744299464 6552524062 7488598928 13105048124 14977197856 26210096248 52420192496 98755898363 104840384992 197511796726 395023593452 691291288541 790047186904 1382582577082 1580094373808 2765165154164 3160188747616 5530330308328 11060660616656 22121321233312