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122022100112 = 24114721169911
BaseRepresentation
bin111000110100100010…
…1010111110010010000
3102122221221002221101012
41301221011113302100
53444400124200422
6132020045030052
711546551511003
oct1615105276220
9378857087335
10122022100112
1147827326940
121b794b55328
13b6780cba03
145c97b1553a
1532927814e2
hex1c69157c90

122022100112 has 80 divisors (see below), whose sum is σ = 264649918464. Its totient is φ = 54026448000.

The previous prime is 122022100111. The next prime is 122022100121. The reversal of 122022100112 is 211001220221.

It is not an unprimeable number, because it can be changed into a prime (122022100111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1710437 + ... + 1780347.

Almost surely, 2122022100112 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 122022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324959232).

122022100112 is an abundant number, since it is smaller than the sum of its proper divisors (142627818352).

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

122022100112 is a wasteful number, since it uses less digits than its factorization.

122022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70188 (or 70182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122022100112 its reverse (211001220221), we get a palindrome (333023320333).

The spelling of 122022100112 in words is "one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 211 376 422 517 752 844 1034 1688 2068 2321 3376 4136 4642 8272 9284 9917 18568 19834 37136 39668 69911 79336 109087 139822 158672 218174 279644 436348 559288 769021 872696 1118576 1538042 1745392 3076084 3285817 6152168 6571634 12304336 13143268 14751221 26286536 29502442 36143987 52573072 59004884 72287974 118009768 144575948 162263431 236019536 289151896 324526862 578303792 649053724 693307387 1298107448 1386614774 2596214896 2773229548 5546459096 7626381257 11092918192 15252762514 30505525028 61011050056 122022100112