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122024412412 = 227531491793083
BaseRepresentation
bin111000110100100111…
…0001100010011111100
3102122222002110102020221
41301221032030103330
53444401222144122
6132020210351124
711546610251260
oct1615116142374
9378862412227
10122024412412
1147828666131
121b79588b4a4
13b67872b336
145c981580a0
153292a8b6c7
hex1c6938c4fc

122024412412 has 96 divisors (see below), whose sum is σ = 251802432000. Its totient is φ = 50663937792.

The previous prime is 122024412373. The next prime is 122024412413. The reversal of 122024412412 is 214214420221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122024412413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39578223 + ... + 39581305.

It is an arithmetic number, because the mean of its divisors is an integer number (2622942000).

Almost surely, 2122024412412 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 122024412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125901216000).

122024412412 is an abundant number, since it is smaller than the sum of its proper divisors (129778019588).

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

122024412412 is a wasteful number, since it uses less digits than its factorization.

122024412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 122024412412 its reverse (214214420221), we get a palindrome (336238832633).

The spelling of 122024412412 in words is "one hundred twenty-two billion, twenty-four million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 53 106 149 179 212 298 358 371 596 716 742 1043 1253 1484 2086 2506 3083 4172 5012 6166 7897 9487 12332 15794 18974 21581 26671 31588 37948 43162 53342 55279 66409 86324 106684 110558 132818 163399 186697 221116 265636 326798 373394 459367 551857 653596 746788 918734 1103714 1143793 1413563 1837468 2207428 2287586 2827126 3215569 3862999 4575172 5654252 6431138 7725998 9894941 12862276 15451996 19789882 24346451 29248421 39579764 48692902 58496842 82226693 97385804 116993684 164453386 170425157 204738947 328906772 340850314 409477894 575586851 681700628 818955788 1151173702 2302347404 4358014729 8716029458 17432058916 30506103103 61012206206 122024412412