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1220322012 = 2237133730203
BaseRepresentation
bin100100010111100…
…1010001011011100
310011001020210002120
41020233022023130
54444400301022
6321031422540
742145365060
oct11057121334
93131223076
101220322012
11576926a98
122a0824a50
13165a8b340
14b80ddaa0
1572201d5c
hex48bca2dc

1220322012 has 96 divisors (see below), whose sum is σ = 3599350272. Its totient is φ = 313134336.

The previous prime is 1220322007. The next prime is 1220322043. The reversal of 1220322012 is 2102230221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220321982 and 1220322000.

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, 25303 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (37493232).

Almost surely, 21220322012 is an apocalyptic number.

1220322012 is a gapful number since it is divisible by the number (12) 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 1220322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799675136).

1220322012 is an abundant number, since it is smaller than the sum of its proper divisors (2379028260).

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

1220322012 is a wasteful number, since it uses less digits than its factorization.

1220322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30267 (or 30265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1220322012 is about 34933.1076773882. The cubic root of 1220322012 is about 1068.6237326427.

Adding to 1220322012 its reverse (2102230221), we get a palindrome (3322552233).

The spelling of 1220322012 in words is "one billion, two hundred twenty million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 30203 40404 60406 90609 120812 181218 211421 362436 392639 422842 634263 785278 845684 1117511 1177917 1268526 1570556 2235022 2355834 2537052 2748473 3352533 4470044 4711668 5496946 6705066 7822577 8245419 10993892 13410132 14527643 15645154 16490838 23467731 29055286 31290308 32981676 43582929 46935462 58110572 87165858 93870924 101693501 174331716 203387002 305080503 406774004 610161006 1220322012