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1212420020 = 2257194111117
BaseRepresentation
bin100100001000100…
…0000111110110100
310010111101022121012
41020101000332310
54440334420040
6320150211352
742021254150
oct11021007664
93114338535
101212420020
1157241a119
1229a053b58
131642526c6
14b7044060
1571690865
hex48440fb4

1212420020 has 96 divisors (see below), whose sum is σ = 3137944320. Its totient is φ = 384168960.

The previous prime is 1212420019. The next prime is 1212420047. The reversal of 1212420020 is 200242121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1212419977 and 1212420004.

It is a congruent number.

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, 103502 + ... + 114618.

It is an arithmetic number, because the mean of its divisors is an integer number (32686920).

Almost surely, 21212420020 is an apocalyptic number.

1212420020 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 1212420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568972160).

1212420020 is an abundant number, since it is smaller than the sum of its proper divisors (1925524300).

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

1212420020 is a wasteful number, since it uses less digits than its factorization.

1212420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11193 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1212420020 is about 34819.8222281504. The cubic root of 1212420020 is about 1066.3121710456.

Adding to 1212420020 its reverse (200242121), we get a palindrome (1412662141).

The spelling of 1212420020 in words is "one billion, two hundred twelve million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 41 70 76 82 95 133 140 164 190 205 266 287 380 410 532 574 665 779 820 1148 1330 1435 1558 2660 2870 3116 3895 5453 5740 7790 10906 11117 15580 21812 22234 27265 44468 54530 55585 77819 109060 111170 155638 211223 222340 311276 389095 422446 455797 778190 844892 911594 1056115 1478561 1556380 1823188 2112230 2278985 2957122 3190579 4224460 4557970 5914244 6381158 7392805 8660143 9115940 12762316 14785610 15952895 17320286 29571220 31905790 34640572 43300715 60621001 63811580 86601430 121242002 173202860 242484004 303105005 606210010 1212420020