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12011033100 = 2235211732683
BaseRepresentation
bin10110010111110100…
…11101001000001100
31011000001212200220210
423023322131020030
5144044311024400
65303502042420
7603434045133
oct131372351014
934001780823
1012011033100
115103a07a40
1223b2579410
1311955286a1
1481d29091a
154a46ee950
hex2cbe9d20c

12011033100 has 216 divisors, whose sum is σ = 38493911232. Its totient is φ = 2867673600.

The previous prime is 12011033087. The next prime is 12011033123. The reversal of 12011033100 is 133011021.

12011033100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120110331002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17585359 + ... + 17586041.

It is an arithmetic number, because the mean of its divisors is an integer number (178212552).

Almost surely, 212011033100 is an apocalyptic number.

12011033100 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 12011033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19246955616).

12011033100 is an abundant number, since it is smaller than the sum of its proper divisors (26482878132).

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

12011033100 is a wasteful number, since it uses less digits than its factorization.

12011033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12011033100 its reverse (133011021), we get a palindrome (12144044121).

It can be divided in two parts, 1201 and 1033100, that added together give a palindrome (1034301).

The spelling of 12011033100 in words is "twelve billion, eleven million, thirty-three thousand, one hundred".