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122000010 = 235114171127
BaseRepresentation
bin1110100010110…
…01001010001010
322111120020112220
413101121022022
5222213000020
620034514510
73010661106
oct721311212
9274506486
10122000010
1162958460
1234a35a36
131c377372
14122ba906
15aa9d240
hex745928a

122000010 has 128 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 28224000.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000010 is 10000221.

It is a happy number.

122000010 is a nontrivial binomial coefficient, being equal to C(15621, 2).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960567 + ... + 960693.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2122000010 is an apocalyptic number.

122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122000010 is the 15620-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

122000010 is an abundant number, since it is smaller than the sum of its proper divisors (212430198).

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

122000010 is a wasteful number, since it uses less digits than its factorization.

122000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 122000010 is about 11045.3614698660. The cubic root of 122000010 is about 495.9675799353.

Adding to 122000010 its reverse (10000221), we get a palindrome (132000231).

The spelling of 122000010 in words is "one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 71 82 110 123 127 142 165 205 213 246 254 330 355 381 410 426 451 615 635 710 762 781 902 1065 1230 1270 1353 1397 1562 1905 2130 2255 2343 2706 2794 2911 3810 3905 4191 4510 4686 5207 5822 6765 6985 7810 8382 8733 9017 10414 11715 13530 13970 14555 15621 17466 18034 20955 23430 26035 27051 29110 31242 32021 41910 43665 45085 52070 54102 57277 64042 78105 87330 90170 96063 99187 114554 135255 156210 160105 171831 192126 198374 270510 286385 297561 320210 343662 369697 480315 495935 572770 595122 739394 859155 960630 991870 1109091 1487805 1718310 1848485 2218182 2975610 3696970 4066667 5545455 8133334 11090910 12200001 20333335 24400002 40666670 61000005 122000010