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12010111000 = 235322353857
BaseRepresentation
bin10110010111101101…
…11100000000011000
31011000000010212000221
423023312330000120
5144044042023000
65303430205424
7603423154606
oct131366740030
934000125027
1012010111000
115103438178
1223b21b3874
131195294a74
1481d0d0876
154a45bb61a
hex2cbdbc018

12010111000 has 64 divisors (see below), whose sum is σ = 28230209280. Its totient is φ = 4782412800.

The previous prime is 12010110991. The next prime is 12010111007. The reversal of 12010111000 is 11101021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010111007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196072 + ... + 249928.

It is an arithmetic number, because the mean of its divisors is an integer number (441097020).

Almost surely, 212010111000 is an apocalyptic number.

12010111000 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 12010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115104640).

12010111000 is an abundant number, since it is smaller than the sum of its proper divisors (16220098280).

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

12010111000 is a wasteful number, since it uses less digits than its factorization.

12010111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54101 (or 54087 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12010111000 its reverse (11101021), we get a palindrome (12021212021).

The spelling of 12010111000 in words is "twelve billion, ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 446 500 892 1000 1115 1784 2230 4460 5575 8920 11150 22300 27875 44600 53857 55750 107714 111500 215428 223000 269285 430856 538570 1077140 1346425 2154280 2692850 5385700 6732125 10771400 12010111 13464250 24020222 26928500 48040444 53857000 60050555 96080888 120101110 240202220 300252775 480404440 600505550 1201011100 1501263875 2402022200 3002527750 6005055500 12010111000