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122322211230 = 235172315596689
BaseRepresentation
bin111000111101011111…
…0001101000110011110
3102200201211211011102210
41301322332031012132
54001003441224410
6132105525301250
711560154432352
oct1617276150636
9380654734383
10122322211230
114797077685a
121b859564826
13b6c533825b
145cc5917462
1532adcb3220
hex1c7af8d19e

122322211230 has 128 divisors (see below), whose sum is σ = 324613785600. Its totient is φ = 29342449664.

The previous prime is 122322211229. The next prime is 122322211267. The reversal of 122322211230 is 32112223221.

It is a super-2 number, since 2×1223222112302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122322211197 and 122322211206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18283726 + ... + 18290414.

It is an arithmetic number, because the mean of its divisors is an integer number (2536045200).

Almost surely, 2122322211230 is an apocalyptic number.

122322211230 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 122322211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162306892800).

122322211230 is an abundant number, since it is smaller than the sum of its proper divisors (202291574370).

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

122322211230 is a wasteful number, since it uses less digits than its factorization.

122322211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298.

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

Adding to 122322211230 its reverse (32112223221), we get a palindrome (154434434451).

The spelling of 122322211230 in words is "one hundred twenty-two billion, three hundred twenty-two million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1559 1955 2346 3118 3910 4677 5865 6689 7795 9354 11730 13378 15590 20067 23385 26503 33445 35857 40134 46770 53006 66890 71714 79509 100335 107571 113713 132515 153847 159018 179285 200670 215142 227426 265030 307694 341139 358570 397545 461541 537855 568565 609569 682278 769235 795090 923082 1075710 1137130 1219138 1538470 1705695 1828707 2307705 2615399 3047845 3411390 3657414 4615410 5230798 6095690 7846197 9143535 10428151 13076995 15692394 18287070 20856302 26153990 31284453 39230985 52140755 62568906 78461970 104281510 156422265 177278567 239847473 312844530 354557134 479694946 531835701 719542419 886392835 1063671402 1199237365 1439084838 1772785670 2398474730 2659178505 3597712095 4077407041 5318357010 7195424190 8154814082 12232221123 20387035205 24464442246 40774070410 61161105615 122322211230