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412100000120 = 23589636718181
BaseRepresentation
bin1011111111100110001…
…00101111100101111000
31110101200221212001201102
411333303010233211320
523222440100000440
6513152141110532
741526136130204
oct5776304574570
91411627761642
10412100000120
111498527855a6
1267a4b558448
132cb26416723
1415d351b1b04
15aabdd1db15
hex5ff312f978

412100000120 has 64 divisors (see below), whose sum is σ = 937842105600. Its totient is φ = 162953303040.

The previous prime is 412100000101. The next prime is 412100000149. The reversal of 412100000120 is 21000001214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22657430 + ... + 22675610.

It is an arithmetic number, because the mean of its divisors is an integer number (14653782900).

Almost surely, 2412100000120 is an apocalyptic number.

412100000120 is a gapful number since it is divisible by the number (40) 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 412100000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468921052800).

412100000120 is an abundant number, since it is smaller than the sum of its proper divisors (525742105480).

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

412100000120 is a wasteful number, since it uses less digits than its factorization.

412100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24648 (or 24644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 412100000120 its reverse (21000001214), we get a palindrome (433100001334).

The spelling of 412100000120 in words is "four hundred twelve billion, one hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 6367 12734 18181 25468 31835 36362 50936 63670 72724 90905 127340 145448 181810 254680 363620 566663 727240 1133326 1618109 2266652 2833315 3236218 4533304 5666630 6472436 8090545 11333260 12944872 16181090 22666520 32362180 64724360 115758427 231516854 463033708 578792135 926067416 1157584270 2315168540 4630337080 10302500003 20605000006 41210000012 51512500015 82420000024 103025000030 206050000060 412100000120