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1212020100 = 22325217372141
BaseRepresentation
bin100100000111101…
…1111010110000100
310010110122000000100
41020033133112010
54440234120400
6320133444100
742015000204
oct11017372604
93113560010
101212020100
11572176705
12299aa0630
13164142675
14b6d7c404
1571612100
hex483df584

1212020100 has 216 divisors, whose sum is σ = 4133126088. Its totient is φ = 295833600.

The previous prime is 1212020093. The next prime is 1212020123. The reversal of 1212020100 is 10202121.

It can be written as a sum of positive squares in 12 ways, for example, as 18870336 + 1193149764 = 4344^2 + 34542^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565030 + ... + 567170.

It is an arithmetic number, because the mean of its divisors is an integer number (19134843).

Almost surely, 21212020100 is an apocalyptic number.

1212020100 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 1212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066563044).

1212020100 is an abundant number, since it is smaller than the sum of its proper divisors (2921105988).

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

1212020100 is a wasteful number, since it uses less digits than its factorization.

1212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1212020100 is about 34814.0790485688. The cubic root of 1212020100 is about 1066.1949161745.

Adding to 1212020100 its reverse (10202121), we get a palindrome (1222222221).

The spelling of 1212020100 in words is "one billion, two hundred twelve million, twenty thousand, one hundred".