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122121000232 = 237116719914869
BaseRepresentation
bin111000110111011111…
…0101001010100101000
3102200012211012120211121
41301232332221110220
54000100434001412
6132033540505024
711552162242360
oct1615676512450
9380184176747
10122121000232
1147878136a80
121b8020ab174
13b6927489aa
145ca6cdb9a0
15329b2ba107
hex1c6efa9528

122121000232 has 128 divisors (see below), whose sum is σ = 291214080000. Its totient is φ = 46630805760.

The previous prime is 122121000229. The next prime is 122121000247. The reversal of 122121000232 is 232000121221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8205694 + ... + 8220562.

It is an arithmetic number, because the mean of its divisors is an integer number (2275110000).

Almost surely, 2122121000232 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 122121000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145607040000).

122121000232 is an abundant number, since it is smaller than the sum of its proper divisors (169093079768).

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

122121000232 is a wasteful number, since it uses less digits than its factorization.

122121000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122121000232 its reverse (232000121221), we get a palindrome (354121121453).

The spelling of 122121000232 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 199 268 308 398 469 536 616 737 796 938 1393 1474 1592 1876 2189 2786 2948 3752 4378 5159 5572 5896 8756 10318 11144 13333 14869 15323 17512 20636 26666 29738 30646 41272 53332 59476 61292 93331 104083 106664 118952 122584 146663 163559 186662 208166 293326 327118 373324 416332 586652 654236 746648 832664 996223 1026641 1144913 1173304 1308472 1992446 2053282 2289826 2958931 3984892 4106564 4579652 5917862 6973561 7969784 8213128 9159304 10958453 11835724 13947122 20712517 21916906 23671448 27894244 32548241 41425034 43833812 55788488 65096482 76709171 82850068 87667624 130192964 153418342 165700136 198248377 227837687 260385928 306836684 396496754 455675374 613673368 792993508 911350748 1387738639 1585987016 1822701496 2180732147 2775477278 4361464294 5550954556 8722928588 11101909112 15265125029 17445857176 30530250058 61060500116 122121000232