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123121121448 = 233132913607551
BaseRepresentation
bin111001010101010010…
…1110011100010101000
3102202210112010000020010
41302222211303202220
54004123001341243
6132321104531520
711616025156563
oct1625245634250
9382715100203
10123121121448
1148240732936
121ba41020ba0
13b7c19c90b0
145d5da7b4da
153308ec2433
hex1caa9738a8

123121121448 has 64 divisors (see below), whose sum is σ = 342910310400. Its totient is φ = 36577094400.

The previous prime is 123121121447. The next prime is 123121121507. The reversal of 123121121448 is 844121121321.

It is a super-2 number, since 2×1231211214482 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123121121447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6794728 + ... + 6812823.

It is an arithmetic number, because the mean of its divisors is an integer number (5357973600).

Almost surely, 2123121121448 is an apocalyptic number.

It is an amenable number.

123121121448 is an abundant number, since it is smaller than the sum of its proper divisors (219789188952).

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

123121121448 is a wasteful number, since it uses less digits than its factorization.

123121121448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607602 (or 13607598 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

Adding to 123121121448 its reverse (844121121321), we get a palindrome (967242242769).

The spelling of 123121121448 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 13607551 27215102 40822653 54430204 81645306 108860408 163290612 176898163 326581224 353796326 394618979 530694489 707592652 789237958 1061388978 1183856937 1415185304 1578475916 2122777956 2367713874 3156951832 4245555912 4735427748 5130046727 9470855496 10260093454 15390140181 20520186908 30780280362 41040373816 61560560724 123121121448