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122202301212030 = 235136073457149323
BaseRepresentation
bin11011110010010001110000…
…110000010010010101111110
3121000200102111111001020212010
4123302101300300102111332
5112004130303102241110
61111522543454552050
734511552641466214
oct3362216060222576
9530612444036763
10122202301212030
1135a34783254916
121185775b508626
13532582098ac20
1422268a14a6cb4
15e1db67b18020
hex6f2470c1257e

122202301212030 has 128 divisors (see below), whose sum is σ = 316459921010688. Its totient is φ = 30022122258432.

The previous prime is 122202301212001. The next prime is 122202301212049. The reversal of 122202301212030 is 30212103202221.

It is a junction number, because it is equal to n+sod(n) for n = 122202301211988 and 122202301212006.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 818300949 + ... + 818450271.

It is an arithmetic number, because the mean of its divisors is an integer number (2472343132896).

Almost surely, 2122202301212030 is an apocalyptic number.

122202301212030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202301212030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158229960505344).

122202301212030 is an abundant number, since it is smaller than the sum of its proper divisors (194257619798658).

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

122202301212030 is a wasteful number, since it uses less digits than its factorization.

122202301212030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153410.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122202301212030 its reverse (30212103202221), we get a palindrome (152414404414251).

The spelling of 122202301212030 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred one million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 607 1214 1821 3035 3457 3642 6070 6914 7891 9105 10371 15782 17285 18210 20742 23673 34570 39455 44941 47346 51855 78910 89882 103710 118365 134823 149323 224705 236730 269646 298646 447969 449410 674115 746615 895938 1348230 1493230 1941199 2098399 2239845 3882398 4196798 4479690 5823597 6295197 9705995 10491995 11647194 12590394 19411990 20983990 27279187 29117985 31475985 54558374 58235970 62951970 81837561 90639061 136395935 163675122 181278122 271917183 272791870 409187805 453195305 516209611 543834366 818375610 906390610 1032419222 1178307793 1359585915 1548628833 2356615586 2581048055 2719171830 3097257666 3534923379 5162096110 5891538965 6710724943 7069846758 7743144165 11783077930 13421449886 15486288330 17674616895 20132174829 33553624715 35349233790 40264349658 67107249430 100660874145 201321748290 313339233877 626678467754 940017701631 1566696169385 1880035403262 3133392338770 4073410040401 4700088508155 8146820080802 9400177016310 12220230121203 20367050202005 24440460242406 40734100404010 61101150606015 122202301212030