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122010120 = 23325477211
BaseRepresentation
bin1110100010110…
…11101000001000
322111120202102100
413101123220020
5222213310440
620035033400
73011032431
oct721335010
9274522370
10122010120
1162965011
1234a3b860
131c37bb4b
14122c0488
15aaa1230
hex745ba08

122010120 has 96 divisors (see below), whose sum is σ = 405025920. Its totient is φ = 31839360.

The previous prime is 122010113. The next prime is 122010151. The reversal of 122010120 is 21010221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13315 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (4219020).

Almost surely, 2122010120 is an apocalyptic number.

122010120 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 122010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202512960).

122010120 is an abundant number, since it is smaller than the sum of its proper divisors (283015800).

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

122010120 is a wasteful number, since it uses less digits than its factorization.

122010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122010120 is about 11045.8191185625. The cubic root of 122010120 is about 495.9812796438.

Adding to 122010120 its reverse (21010221), we get a palindrome (143020341).

The spelling of 122010120 in words is "one hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 7211 8460 14422 16920 21633 28844 36055 43266 57688 64899 72110 86532 108165 129798 144220 173064 216330 259596 288440 324495 338917 432660 519192 648990 677834 865320 1016751 1297980 1355668 1694585 2033502 2595960 2711336 3050253 3389170 4067004 5083755 6100506 6778340 8134008 10167510 12201012 13556680 15251265 20335020 24402024 30502530 40670040 61005060 122010120