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12113202000 = 243533675501
BaseRepresentation
bin10110100100000000…
…01100101101010000
31011021012010102022010
423102000030231100
5144301434431000
65321551542520
7606114342504
oct132200145520
934235112263
1012113202000
11515664aa49
12242082aa40
1311b074b463
1482ca88304
154ad681d50
hex2d200cb50

12113202000 has 160 divisors (see below), whose sum is σ = 39166493184. Its totient is φ = 3220800000.

The previous prime is 12113201983. The next prime is 12113202007. The reversal of 12113202000 is 20231121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199250 + ... + 2204750.

Almost surely, 212113202000 is an apocalyptic number.

12113202000 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 12113202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583246592).

12113202000 is an abundant number, since it is smaller than the sum of its proper divisors (27053291184).

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

12113202000 is a wasteful number, since it uses less digits than its factorization.

12113202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12113202000 its reverse (20231121), we get a palindrome (12133433121).

The spelling of 12113202000 in words is "twelve billion, one hundred thirteen million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 367 375 400 500 600 734 750 1000 1101 1200 1468 1500 1835 2000 2202 2936 3000 3670 4404 5501 5505 5872 6000 7340 8808 9175 11002 11010 14680 16503 17616 18350 22004 22020 27505 27525 29360 33006 36700 44008 44040 45875 55010 55050 66012 73400 82515 88016 88080 91750 110020 110100 132024 137525 137625 146800 165030 183500 220040 220200 264048 275050 275250 330060 367000 412575 440080 440400 550100 550500 660120 687625 734000 825150 1100200 1101000 1320240 1375250 1650300 2018867 2062875 2200400 2202000 2750500 3300600 4037734 4125750 5501000 6056601 6601200 8075468 8251500 10094335 11002000 12113202 16150936 16503000 20188670 24226404 30283005 32301872 33006000 40377340 48452808 50471675 60566010 80754680 96905616 100943350 121132020 151415025 161509360 201886700 242264040 252358375 302830050 403773400 484528080 504716750 605660100 757075125 807546800 1009433500 1211320200 1514150250 2018867000 2422640400 3028300500 4037734000 6056601000 12113202000