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122820060 = 223511712621
BaseRepresentation
bin1110101001000…
…01010111011100
322120002220110010
413110201113130
5222420220220
620104243220
73020644656
oct724412734
9276086403
10122820060
1163368590
1235170510
131c5a36bc
14124516d6
15abb11e0
hex75215dc

122820060 has 96 divisors (see below), whose sum is σ = 380588544. Its totient is φ = 29344000.

The previous prime is 122820031. The next prime is 122820101. The reversal of 122820060 is 60028221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45550 + ... + 48170.

It is an arithmetic number, because the mean of its divisors is an integer number (3964464).

Almost surely, 2122820060 is an apocalyptic number.

122820060 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 122820060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294272).

122820060 is an abundant number, since it is smaller than the sum of its proper divisors (257768484).

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

122820060 is a wasteful number, since it uses less digits than its factorization.

122820060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122820060 is about 11082.4212156009. The cubic root of 122820060 is about 497.0763512096.

Adding to 122820060 its reverse (60028221), we get a palindrome (182848281).

The spelling of 122820060 in words is "one hundred twenty-two million, eight hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 2621 3124 3905 4260 4686 5242 7810 7863 9372 10484 11715 13105 15620 15726 23430 26210 28831 31452 39315 46860 52420 57662 78630 86493 115324 144155 157260 172986 186091 288310 345972 372182 432465 558273 576620 744364 864930 930455 1116546 1729860 1860910 2047001 2233092 2791365 3721820 4094002 5582730 6141003 8188004 10235005 11165460 12282006 20470010 24564012 30705015 40940020 61410030 122820060