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12113210000 = 24542774373
BaseRepresentation
bin10110100100000000…
…01110101010010000
31011021012010211021102
423102000032222100
5144301440210000
65321552043532
7606114405023
oct132200165220
934235124242
1012113210000
115156655a61
1224208335a8
1311b0751ca8
1482ca8b1ba
154ad6843d5
hex2d200ea90

12113210000 has 100 divisors (see below), whose sum is σ = 29439898092. Its totient is φ = 4826688000.

The previous prime is 12113209991. The next prime is 12113210009. The reversal of 12113210000 is 1231121.

It is an interprime number because it is at equal distance from previous prime (12113209991) and next prime (12113210009).

It can be written as a sum of positive squares in 10 ways, for example, as 10606528144 + 1506681856 = 102988^2 + 38816^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12113210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2767814 + ... + 2772186.

Almost surely, 212113210000 is an apocalyptic number.

12113210000 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 12113210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719949046).

12113210000 is an abundant number, since it is smaller than the sum of its proper divisors (17326688092).

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

12113210000 is an equidigital number, since it uses as much as digits as its factorization.

12113210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12113210000 its reverse (1231121), we get a palindrome (12114441121).

The spelling of 12113210000 in words is "twelve billion, one hundred thirteen million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 277 400 500 554 625 1000 1108 1250 1385 2000 2216 2500 2770 4373 4432 5000 5540 6925 8746 10000 11080 13850 17492 21865 22160 27700 34625 34984 43730 55400 69250 69968 87460 109325 110800 138500 173125 174920 218650 277000 346250 349840 437300 546625 554000 692500 874600 1093250 1211321 1385000 1749200 2186500 2422642 2733125 2770000 4373000 4845284 5466250 6056605 8746000 9690568 10932500 12113210 19381136 21865000 24226420 30283025 43730000 48452840 60566050 96905680 121132100 151415125 242264200 302830250 484528400 605660500 757075625 1211321000 1514151250 2422642000 3028302500 6056605000 12113210000