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122421133110 = 235311274912111
BaseRepresentation
bin111001000000011011…
…1100011111100110110
3102200222201221220202010
41302000313203330312
54001204302224420
6132123421425050
711562465314343
oct1620067437466
9380881856663
10122421133110
1147a115a1281
121b88670b186
13b70c992103
145cd4b077ca
1532b78034e0
hex1c80de3f36

122421133110 has 128 divisors (see below), whose sum is σ = 306444238848. Its totient is φ = 31265136000.

The previous prime is 122421133039. The next prime is 122421133117. The reversal of 122421133110 is 11331124221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122421133117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57990955 + ... + 57993065.

It is an arithmetic number, because the mean of its divisors is an integer number (2394095616).

Almost surely, 2122421133110 is an apocalyptic number.

122421133110 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 122421133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153222119424).

122421133110 is an abundant number, since it is smaller than the sum of its proper divisors (184023105738).

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

122421133110 is a wasteful number, since it uses less digits than its factorization.

122421133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122421133110 its reverse (11331124221), we get a palindrome (133752257331).

The spelling of 122421133110 in words is "one hundred twenty-two billion, four hundred twenty-one million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 127 155 186 254 310 381 465 491 635 762 930 982 1270 1473 1905 2111 2455 2946 3810 3937 4222 4910 6333 7365 7874 10555 11811 12666 14730 15221 19685 21110 23622 30442 31665 39370 45663 59055 62357 63330 65441 76105 91326 118110 124714 130882 152210 187071 196323 228315 268097 311785 327205 374142 392646 456630 536194 623570 654410 804291 935355 981615 1036501 1340485 1608582 1870710 1933067 1963230 2073002 2680970 3109503 3866134 4021455 5182505 5799201 6219006 8042910 8311007 9665335 10365010 11598402 15547515 16622014 19330670 24933021 28996005 31095030 32131531 41555035 49866042 57992010 64263062 83110070 96394593 124665105 131635627 160657655 192789186 249330210 263271254 321315310 394906881 481972965 658178135 789813762 963945930 1316356270 1974534405 3949068810 4080704437 8161408874 12242113311 20403522185 24484226622 40807044370 61210566555 122421133110