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12022254600104 = 237279428390641
BaseRepresentation
bin1010111011110010011000…
…1101101111111110101000
31120120022112121000220221202
42232330212031233332220
53033433034134200404
641322540355223332
72350402451002400
oct256744615577650
946508477026852
1012022254600104
1139156783362a1
121421bb08a7b48
13692903205008
142d7c474b5800
1515cad6a9121e
hexaef2636ffa8

12022254600104 has 96 divisors (see below), whose sum is σ = 26560426435200. Its totient is φ = 5085930769920.

The previous prime is 12022254600061. The next prime is 12022254600113. The reversal of 12022254600104 is 40100645222021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132590624 + ... + 132681264.

It is an arithmetic number, because the mean of its divisors is an integer number (276671108700).

Almost surely, 212022254600104 is an apocalyptic number.

12022254600104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022254600104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280213217600).

12022254600104 is an abundant number, since it is smaller than the sum of its proper divisors (14538171835096).

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

12022254600104 is a wasteful number, since it uses less digits than its factorization.

12022254600104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95023 (or 95012 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 12022254600104 its reverse (40100645222021), we get a palindrome (52122899822125).

The spelling of 12022254600104 in words is "twelve trillion, twenty-two billion, two hundred fifty-four million, six hundred thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 1106 2212 3871 4283 4424 7742 8566 15484 17132 29981 30968 34264 59962 90641 119924 181282 209867 239848 338357 362564 419734 634487 676714 725128 839468 1268974 1353428 1678936 2368499 2537948 2706856 4441409 4736998 5075896 7160639 8882818 9473996 14321278 16579493 17765636 18947992 28642556 33158986 35531272 50124473 57285112 66317972 100248946 132635944 200497892 350871311 388215403 400995784 701742622 776430806 1403485244 1552861612 2717507821 2806970488 3105723224 5435015642 10870031284 19022554747 21740062568 30669016837 38045109494 61338033674 76090218988 122676067348 152180437976 214683117859 245352134696 429366235718 858732471436 1502781825013 1717464942872 3005563650026 6011127300052 12022254600104