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122443340431312 = 24175944617171007
BaseRepresentation
bin11011110101110010001111…
…110011111011111111010000
3121001112110122220212021201001
4123311302033303323333100
5112022102430122300222
61112225405525551344
734535145056161645
oct3365621763737720
9531473586767631
10122443340431312
1136017a2464496a
121189640ab75554
13534248544bbb4
142234409b91dcc
15e25073e00e27
hex6f5c8fcfbfd0

122443340431312 has 80 divisors (see below), whose sum is σ = 255453569925120. Its totient is φ = 56642177839104.

The previous prime is 122443340431301. The next prime is 122443340431333. The reversal of 122443340431312 is 213134043344221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715928113 + ... + 716099119.

It is an arithmetic number, because the mean of its divisors is an integer number (3193169624064).

Almost surely, 2122443340431312 is an apocalyptic number.

It is an amenable number.

122443340431312 is an abundant number, since it is smaller than the sum of its proper divisors (133010229493808).

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

122443340431312 is a wasteful number, since it uses less digits than its factorization.

122443340431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215708 (or 215702 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 122443340431312 its reverse (213134043344221), we get a palindrome (335577383775533).

The spelling of 122443340431312 in words is "one hundred twenty-two trillion, four hundred forty-three billion, three hundred forty million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 2006 4012 8024 16048 44617 89234 171007 178468 342014 356936 684028 713872 758489 1368056 1516978 2632403 2736112 2907119 3033956 5264806 5814238 6067912 10089413 10529612 11628476 12135824 20178826 21059224 23256952 40357652 42118448 44750851 46513904 80715304 89501702 161430608 171520021 179003404 343040042 358006808 686080084 716013616 1372160168 2744320336 7629819319 15259638638 30519277276 61038554552 122077109104 129706928423 259413856846 450159339821 518827713692 900318679642 1037655427384 1800637359284 2075310854768 3601274718568 7202549437136 7652708776957 15305417553914 30610835107828 61221670215656 122443340431312