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20211210120 = 23352931187349
BaseRepresentation
bin10010110100101011…
…101001011110001000
31221011112221212001210
4102310223221132020
5312343032210440
613141312213120
71313565310563
oct226453513610
957145855053
1020211210120
118631779342
123b0083a1a0
131ba138853a
14d9a3854da
157d458ba80
hex4b4ae9788

20211210120 has 128 divisors (see below), whose sum is σ = 64748160000. Its totient is φ = 5035914240.

The previous prime is 20211210113. The next prime is 20211210139. The reversal of 20211210120 is 2101211202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20211210096 and 20211210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14206 + ... + 201554.

It is an arithmetic number, because the mean of its divisors is an integer number (505845000).

Almost surely, 220211210120 is an apocalyptic number.

20211210120 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 20211210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32374080000).

20211210120 is an abundant number, since it is smaller than the sum of its proper divisors (44536949880).

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

20211210120 is a wasteful number, since it uses less digits than its factorization.

20211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187423 (or 187419 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20211210120 its reverse (2101211202), we get a palindrome (22312421322).

The spelling of 20211210120 in words is "twenty billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1160 1240 1740 1798 1860 2697 3480 3596 3720 4495 5394 7192 8990 10788 13485 17980 21576 26970 35960 53940 107880 187349 374698 562047 749396 936745 1124094 1498792 1873490 2248188 2810235 3746980 4496376 5433121 5620470 5807819 7493960 10866242 11240940 11615638 16299363 17423457 21732484 22481880 23231276 27165605 29039095 32598726 34846914 43464968 46462552 54331210 58078190 65197452 69693828 81496815 87117285 108662420 116156380 130394904 139387656 162993630 168426751 174234570 217324840 232312760 325987260 336853502 348469140 505280253 651974520 673707004 696938280 842133755 1010560506 1347414008 1684267510 2021121012 2526401265 3368535020 4042242024 5052802530 6737070040 10105605060 20211210120