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123134111120 = 24511931290173
BaseRepresentation
bin111001010101101011…
…1010110110110010000
3102202211102112221201002
41302223113112312100
54004134313023440
6132322251201132
711616243450416
oct1625327266620
9382742487632
10123134111120
1148247aa51a9
121ba454461a8
13b7c45c66a7
145d6169d2b6
15330a1db115
hex1cab5d6d90

123134111120 has 40 divisors (see below), whose sum is σ = 286527002616. Its totient is φ = 49212320768.

The previous prime is 123134111117. The next prime is 123134111137. The reversal of 123134111120 is 21111431321.

It can be written as a sum of positive squares in 4 ways, for example, as 1204645264 + 121929465856 = 34708^2 + 349184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123134111092 and 123134111101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549647 + ... + 740526.

Almost surely, 2123134111120 is an apocalyptic number.

123134111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123134111120 is an abundant number, since it is smaller than the sum of its proper divisors (163392891496).

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

123134111120 is a wasteful number, since it uses less digits than its factorization.

123134111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291379 (or 1291373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 123134111120 its reverse (21111431321), we get a palindrome (144245542441).

The spelling of 123134111120 in words is "one hundred twenty-three billion, one hundred thirty-four million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1193 2386 4772 5965 9544 11930 19088 23860 47720 95440 1290173 2580346 5160692 6450865 10321384 12901730 20642768 25803460 51606920 103213840 1539176389 3078352778 6156705556 7695881945 12313411112 15391763890 24626822224 30783527780 61567055560 123134111120