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121207020 = 223511672741
BaseRepresentation
bin1110011100101…
…11100011101100
322110001221202220
413032113203230
5222012111040
620005515340
73001146144
oct716274354
9273057686
10121207020
11624666a0
1234712b50
131c15a43c
1412151924
15a9932d0
hex73978ec

121207020 has 96 divisors (see below), whose sum is σ = 375895296. Its totient is φ = 28934400.

The previous prime is 121207007. The next prime is 121207049. The reversal of 121207020 is 20702121.

It is a super-2 number, since 2×1212070202 = 29382283394560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 42850 + ... + 45590.

It is an arithmetic number, because the mean of its divisors is an integer number (3915576).

Almost surely, 2121207020 is an apocalyptic number.

121207020 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 121207020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187947648).

121207020 is an abundant number, since it is smaller than the sum of its proper divisors (254688276).

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

121207020 is a wasteful number, since it uses less digits than its factorization.

121207020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 121207020 is about 11009.4059785258. The cubic root of 121207020 is about 494.8906604740.

Adding to 121207020 its reverse (20702121), we get a palindrome (141909141).

The spelling of 121207020 in words is "one hundred twenty-one million, two hundred seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2741 2948 3685 4020 4422 5482 7370 8223 8844 10964 11055 13705 14740 16446 22110 27410 30151 32892 41115 44220 54820 60302 82230 90453 120604 150755 164460 180906 183647 301510 361812 367294 452265 550941 603020 734588 904530 918235 1101882 1809060 1836470 2020117 2203764 2754705 3672940 4040234 5509410 6060351 8080468 10100585 11018820 12120702 20201170 24241404 30301755 40402340 60603510 121207020