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122124540 = 223583137179
BaseRepresentation
bin1110100011101…
…11100011111100
322111210120101010
413101313203330
5222230441130
620041315220
73012020136
oct721674374
9274716333
10122124540
1162a32a7a
1234a95b10
131c3bbc55
1412310056
15aac50b0
hex74778fc

122124540 has 96 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 31760896.

The previous prime is 122124511. The next prime is 122124551. The reversal of 122124540 is 45421221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682171 + ... + 682349.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2122124540 is an apocalyptic number.

122124540 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 122124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

122124540 is an abundant number, since it is smaller than the sum of its proper divisors (228417540).

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

122124540 is a wasteful number, since it uses less digits than its factorization.

122124540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 122124540 is about 11050.9972400684. The cubic root of 122124540 is about 496.1362734736.

Adding to 122124540 its reverse (45421221), we get a palindrome (167545761).

The spelling of 122124540 in words is "one hundred twenty-two million, one hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 137 166 179 249 274 332 358 411 415 498 537 548 685 716 822 830 895 996 1074 1245 1370 1644 1660 1790 2055 2148 2490 2685 2740 3580 4110 4980 5370 8220 10740 11371 14857 22742 24523 29714 34113 44571 45484 49046 56855 59428 68226 73569 74285 89142 98092 113710 122615 136452 147138 148570 170565 178284 222855 227420 245230 294276 297140 341130 367845 445710 490460 682260 735690 891420 1471380 2035409 4070818 6106227 8141636 10177045 12212454 20354090 24424908 30531135 40708180 61062270 122124540