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12010211100 = 22325237596113
BaseRepresentation
bin10110010111101110…
…10100011100011100
31011000000022221100100
423023313110130130
5144044103223400
65303432301100
7603424052466
oct131367243434
934000287310
1012010211100
1151034a63a8
1223b2241790
1311952cb4b4
1481d119136
154a45db100
hex2cbdd471c

12010211100 has 216 divisors, whose sum is σ = 39324514320. Its totient is φ = 3062845440.

The previous prime is 12010211099. The next prime is 12010211117. The reversal of 12010211100 is 111201021.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 1961644 + ... + 1967756.

Almost surely, 212010211100 is an apocalyptic number.

12010211100 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 12010211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662257160).

12010211100 is an abundant number, since it is smaller than the sum of its proper divisors (27314303220).

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

12010211100 is a wasteful number, since it uses less digits than its factorization.

12010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010211100 its reverse (111201021), we get a palindrome (12121412121).

The spelling of 12010211100 in words is "twelve billion, ten million, two hundred eleven thousand, one hundred".