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123121102120 = 2357342164761
BaseRepresentation
bin111001010101010010…
…1101110110100101000
3102202210112002000201021
41302222211232310220
54004123000231440
6132321104302224
711616025046332
oct1625245566450
9382715060637
10123121102120
114824071a365
121ba41011974
13b7c19c0363
145d5da74452
153308ebb84a
hex1caa96ed28

123121102120 has 32 divisors (see below), whose sum is σ = 280817314920. Its totient is φ = 48573803520.

The previous prime is 123121102109. The next prime is 123121102127. The reversal of 123121102120 is 21201121321.

It can be written as a sum of positive squares in 4 ways, for example, as 69056481796 + 54064620324 = 262786^2 + 232518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123121102094 and 123121102103.

It is not an unprimeable number, because it can be changed into a prime (123121102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21079461 + ... + 21085300.

Almost surely, 2123121102120 is an apocalyptic number.

123121102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121102120 is an abundant number, since it is smaller than the sum of its proper divisors (157696212800).

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

123121102120 is a wasteful number, since it uses less digits than its factorization.

123121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164845 (or 42164841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 123121102120 its reverse (21201121321), we get a palindrome (144322223441).

The spelling of 123121102120 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 42164761 84329522 168659044 210823805 337318088 421647610 843295220 1686590440 3078027553 6156055106 12312110212 15390137765 24624220424 30780275530 61560551060 123121102120