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12112021000 = 2353101119921
BaseRepresentation
bin10110100011110111…
…01100011000001000
31011021002220102021101
423101323230120020
5144301134133000
65321510351144
7606101323402
oct132173543010
934232812241
1012112021000
115155a13712
12242035b4b4
1311b0426a41
1482c85bb72
154ad4ebe6a
hex2d1eec608

12112021000 has 64 divisors (see below), whose sum is σ = 28622982960. Its totient is φ = 4796800000.

The previous prime is 12112020997. The next prime is 12112021021. The reversal of 12112021000 is 12021121.

It can be written as a sum of positive squares in 8 ways, for example, as 1602080676 + 10509940324 = 40026^2 + 102518^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41040 + ... + 160960.

Almost surely, 212112021000 is an apocalyptic number.

12112021000 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 12112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311491480).

12112021000 is an abundant number, since it is smaller than the sum of its proper divisors (16510961960).

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

12112021000 is a wasteful number, since it uses less digits than its factorization.

12112021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120043 (or 120029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12112021000 its reverse (12021121), we get a palindrome (12124042121).

The spelling of 12112021000 in words is "twelve billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 119921 239842 479684 599605 959368 1199210 2398420 2998025 4796840 5996050 11992100 12112021 14990125 23984200 24224042 29980250 48448084 59960500 60560105 96896168 119921000 121120210 242240420 302800525 484480840 605601050 1211202100 1514002625 2422404200 3028005250 6056010500 12112021000