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12110102000 = 245310159951
BaseRepresentation
bin10110100011101000…
…10111110111110000
31011020222021220220022
423101310113313300
5144300141231000
65321401303012
7606046111553
oct132164276760
934228256808
1012110102000
115154922967
12241b794a68
1311acc04439
1482c4bc69a
154ad26d585
hex2d1d17df0

12110102000 has 80 divisors (see below), whose sum is σ = 29572642944. Its totient is φ = 4796000000.

The previous prime is 12110101957. The next prime is 12110102047. The reversal of 12110102000 is 20101121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 172025 + ... + 231975.

Almost surely, 212110102000 is an apocalyptic number.

12110102000 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 12110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786321472).

12110102000 is an abundant number, since it is smaller than the sum of its proper divisors (17462540944).

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

12110102000 is a wasteful number, since it uses less digits than its factorization.

12110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60075 (or 60059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12110102000 its reverse (20101121), we get a palindrome (12130203121).

The spelling of 12110102000 in words is "twelve billion, one hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 59951 101000 119902 202000 239804 299755 479608 599510 959216 1199020 1498775 2398040 2997550 4796080 5995100 6055051 7493875 11990200 12110102 14987750 23980400 24220204 29975500 30275255 48440408 59951000 60550510 96880816 119902000 121101020 151376275 242202040 302752550 484404080 605505100 756881375 1211010200 1513762750 2422020400 3027525500 6055051000 12110102000