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1210320012 = 2231122341117
BaseRepresentation
bin100100000100100…
…0000010010001100
310010100102121221010
41020021000102030
54434320220022
6320033205220
741664356526
oct11011002214
93110377833
101210320012
11571215380
12299400810
131639988b5
14b6a58a16
15713c850c
hex4824048c

1210320012 has 48 divisors (see below), whose sum is σ = 3094705152. Its totient is φ = 365110080.

The previous prime is 1210319963. The next prime is 1210320029. The reversal of 1210320012 is 2100230121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1210320012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8878 + ... + 49994.

It is an arithmetic number, because the mean of its divisors is an integer number (64473024).

Almost surely, 21210320012 is an apocalyptic number.

1210320012 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 1210320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547352576).

1210320012 is an abundant number, since it is smaller than the sum of its proper divisors (1884385140).

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

1210320012 is a wasteful number, since it uses less digits than its factorization.

1210320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41358 (or 41356 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1210320012 is about 34789.6538068432. The cubic root of 1210320012 is about 1065.6961693961.

Adding to 1210320012 its reverse (2100230121), we get a palindrome (3310550133).

The spelling of 1210320012 in words is "one billion, two hundred ten million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 4906 7359 9812 14718 29436 41117 82234 123351 164468 246702 452287 493404 904574 1356861 1809148 2713722 5427444 9169091 18338182 27507273 36676364 55014546 100860001 110029092 201720002 302580003 403440004 605160006 1210320012