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122231420014140 = 223253335320359891
BaseRepresentation
bin11011110010101100111000…
…010111101100111000111100
3121000210012122211012122222100
4123302230320113230320330
5112010114422010423030
61111544201131545100
734513633351306053
oct3362547027547074
9530705584178870
10122231420014140
1135a46066038928
12118613272bb190
1353284b1610748
14222806488b39a
15e1e7be1cb360
hex6f2b385ece3c

122231420014140 has 72 divisors (see below), whose sum is σ = 370779775421328. Its totient is φ = 32594066461440.

The previous prime is 122231420014073. The next prime is 122231420014141. The reversal of 122231420014140 is 41410024132221.

122231420014140 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 314 + 200 + 1 + 4 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231420014141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4176406 + ... + 16183485.

It is an arithmetic number, because the mean of its divisors is an integer number (5149719103074).

Almost surely, 2122231420014140 is an apocalyptic number.

122231420014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231420014140 is an abundant number, since it is smaller than the sum of its proper divisors (248548355407188).

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

122231420014140 is a wasteful number, since it uses less digits than its factorization.

122231420014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393259 (or 20393254 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 122231420014140 its reverse (41410024132221), we get a palindrome (163641444146361).

The spelling of 122231420014140 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, four hundred twenty million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 33353 66706 100059 133412 166765 200118 300177 333530 400236 500295 600354 667060 1000590 1200708 1500885 2001180 3001770 6003540 20359891 40719782 61079673 81439564 101799455 122159346 183239019 203598910 244318692 305398365 366478038 407197820 610796730 732956076 916195095 1221593460 1832390190 3664780380 679063444523 1358126889046 2037190333569 2716253778092 3395317222615 4074380667138 6111571000707 6790634445230 8148761334276 10185951667845 12223142001414 13581268890460 20371903335690 24446284002828 30557855003535 40743806671380 61115710007070 122231420014140