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1243120120 = 2351121012543
BaseRepresentation
bin100101000011000…
…1000000111111000
310012122011001012221
41022012020013320
510021214320440
6323204213424
742543226624
oct11206100770
93178131187
101243120120
11588788600
122a839a274
1316a711248
14bb156184
1574206d4a
hex4a1881f8

1243120120 has 96 divisors (see below), whose sum is σ = 3106071360. Its totient is φ = 447392000.

The previous prime is 1243120027. The next prime is 1243120199. The reversal of 1243120120 is 210213421.

It is a junction number, because it is equal to n+sod(n) for n = 1243120094 and 1243120103.

It is a congruent number.

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, 487569 + ... + 490111.

It is an arithmetic number, because the mean of its divisors is an integer number (32354910).

Almost surely, 21243120120 is an apocalyptic number.

1243120120 is a gapful number since it is divisible by the number (10) 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 1243120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553035680).

1243120120 is an abundant number, since it is smaller than the sum of its proper divisors (1862951240).

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

1243120120 is a wasteful number, since it uses less digits than its factorization.

1243120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2662 counting only the distinct ones).

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

The square root of 1243120120 is about 35257.9086163658. The cubic root of 1243120120 is about 1075.2374078147.

Adding to 1243120120 its reverse (210213421), we get a palindrome (1453333541).

The spelling of 1243120120 in words is "one billion, two hundred forty-three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 2543 4040 4444 4840 5086 5555 8888 10172 11110 12221 12715 20344 22220 24442 25430 27973 44440 48884 50860 55946 61105 97768 101720 111892 122210 139865 223784 244420 256843 279730 307703 488840 513686 559460 615406 1027372 1118920 1230812 1284215 1538515 2054744 2461624 2568430 2825273 3077030 5136860 5650546 6154060 10273720 11301092 12308120 14126365 22602184 28252730 31078003 56505460 62156006 113010920 124312012 155390015 248624024 310780030 621560060 1243120120