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12010210212 = 223711133761443
BaseRepresentation
bin10110010111101110…
…10100001110100100
31011000000022220010110
423023313110032210
5144044103211322
65303432253020
7603424050060
oct131367241644
934000286113
1012010210212
1151034a5770
1223b2241170
1311952cac80
1481d118aa0
154a45dac0c
hex2cbdd43a4

12010210212 has 384 divisors, whose sum is σ = 39365480448. Its totient is φ = 2749593600.

The previous prime is 12010210207. The next prime is 12010210229. The reversal of 12010210212 is 21201201021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27110863 + ... + 27111305.

It is an arithmetic number, because the mean of its divisors is an integer number (102514272).

Almost surely, 212010210212 is an apocalyptic number.

12010210212 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 12010210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682740224).

12010210212 is an abundant number, since it is smaller than the sum of its proper divisors (27355270236).

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

12010210212 is a wasteful number, since it uses less digits than its factorization.

12010210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

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

Adding to 12010210212 its reverse (21201201021), we get a palindrome (33211411233).

It can be divided in two parts, 12010 and 210212, that added together give a palindrome (222222).

The spelling of 12010210212 in words is "twelve billion, ten million, two hundred ten thousand, two hundred twelve".