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20201210120 = 23571317233221
BaseRepresentation
bin10010110100000101…
…100000000100001000
31221010212010210122102
4102310011200010020
5312333002210440
613140314012532
71313414311220
oct226405400410
957125123572
1020201210120
118627069183
123ab9417148
131b9c296990
14d98d01080
157d3763b15
hex4b4160108

20201210120 has 128 divisors (see below), whose sum is σ = 55991658240. Its totient is φ = 6387655680.

The previous prime is 20201210111. The next prime is 20201210129. The reversal of 20201210120 is 2101210202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20201210111) and next prime (20201210129).

It is not an unprimeable number, because it can be changed into a prime (20201210129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6270110 + ... + 6273330.

It is an arithmetic number, because the mean of its divisors is an integer number (437434830).

Almost surely, 220201210120 is an apocalyptic number.

20201210120 is a gapful number since it is divisible by the number (20) 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 20201210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27995829120).

20201210120 is an abundant number, since it is smaller than the sum of its proper divisors (35790448120).

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

20201210120 is a wasteful number, since it uses less digits than its factorization.

20201210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20201210120 its reverse (2101210202), we get a palindrome (22302420322).

The spelling of 20201210120 in words is "twenty billion, two hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1723 1820 3221 3446 3640 6442 6892 8615 12061 12884 13784 16105 17230 22399 22547 24122 25768 32210 34460 41873 44798 45094 48244 60305 64420 68920 83746 89596 90188 96488 111995 112735 120610 128840 156793 167492 179192 180376 209365 223990 225470 241220 293111 313586 334984 418730 447980 450940 482440 586222 627172 783965 837460 895960 901880 1172444 1254344 1465555 1567930 1674920 2344888 2931110 3135860 5549783 5862220 6271720 11099566 11724440 22199132 27748915 38848481 44398264 55497830 72147179 77696962 110995660 144294358 155393924 194242405 221991320 288588716 310787848 360735895 388484810 505030253 577177432 721471790 776969620 1010060506 1442943580 1553939240 2020121012 2525151265 2885887160 4040242024 5050302530 10100605060 20201210120