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122100331213320 = 23353141777857953
BaseRepresentation
bin11011110000110010110010…
…110111100111001000001000
3121000022200022000111121102020
4123300302302313213020020
5112000442434242311240
61111404041240004440
734501313014011225
oct3360626267471010
9530280260447366
10122100331213320
11359a5506903609
121183ba41a60720
13531901cca9895
14222198a95a94c
15e1b19a9950d0
hex6f0cb2de7208

122100331213320 has 128 divisors (see below), whose sum is σ = 378207726474240. Its totient is φ = 31502215249920.

The previous prime is 122100331213309. The next prime is 122100331213349. The reversal of 122100331213320 is 23312133001221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11609464 + ... + 19467416.

It is an arithmetic number, because the mean of its divisors is an integer number (2954747863080).

Almost surely, 2122100331213320 is an apocalyptic number.

122100331213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100331213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189103863237120).

122100331213320 is an abundant number, since it is smaller than the sum of its proper divisors (256107395260920).

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

122100331213320 is a wasteful number, since it uses less digits than its factorization.

122100331213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862175 (or 7862171 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122100331213320 its reverse (23312133001221), we get a palindrome (145412464214541).

The spelling of 122100331213320 in words is "one hundred twenty-two trillion, one hundred billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4177 8354 12531 16708 20885 25062 33416 41770 50124 62655 83540 100248 125310 129487 167080 250620 258974 388461 501240 517948 647435 776922 1035896 1294870 1553844 1942305 2589740 3107688 3884610 5179480 7769220 7857953 15538440 15715906 23573859 31431812 39289765 47147718 62863624 78579530 94295436 117869295 157159060 188590872 235738590 243596543 314318120 471477180 487193086 730789629 942954360 974386172 1217982715 1461579258 1948772344 2435965430 2923158516 3653948145 4871930860 5846317032 7307896290 9743861720 14615792580 29231585160 32822669681 65645339362 98468009043 131290678724 164113348405 196936018086 262581357448 328226696810 393872036172 492340045215 656453393620 787744072344 984680090430 1017502760111 1312906787240 1969360180860 2035005520222 3052508280333 3938720361720 4070011040444 5087513800555 6105016560666 8140022080888 10175027601110 12210033121332 15262541401665 20350055202220 24420066242664 30525082803330 40700110404440 61050165606660 122100331213320