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12010012212 = 223112353101739
BaseRepresentation
bin10110010111101101…
…00011111000110100
31010222222221211112010
423023312203320310
5144044030342322
65303424124220
7603422263602
oct131366437064
933888854463
1012010012212
11510337aa30
1223b2166670
13119525bb03
1481d0a6872
154a459c20c
hex2cbda3e34

12010012212 has 192 divisors, whose sum is σ = 32868218880. Its totient is φ = 3377088000.

The previous prime is 12010012181. The next prime is 12010012303. The reversal of 12010012212 is 21221001021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16251339 + ... + 16252077.

It is an arithmetic number, because the mean of its divisors is an integer number (171188640).

Almost surely, 212010012212 is an apocalyptic number.

12010012212 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 12010012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434109440).

12010012212 is an abundant number, since it is smaller than the sum of its proper divisors (20858206668).

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

12010012212 is a wasteful number, since it uses less digits than its factorization.

12010012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

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

Adding to 12010012212 its reverse (21221001021), we get a palindrome (33231013233).

The spelling of 12010012212 in words is "twelve billion, ten million, twelve thousand, two hundred twelve".