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12101201000 = 2353713912437
BaseRepresentation
bin10110100010100100…
…11010110001101000
31011020100112201000122
423101102122301220
5144240401413000
65320442422412
7605610340250
oct132122326150
934210481018
1012101201000
11514a8a3469
122418801a08
1311ab108b85
1482b242960
154ac5b1085
hex2d149ac68

12101201000 has 128 divisors (see below), whose sum is σ = 32597510400. Its totient is φ = 4118803200.

The previous prime is 12101200999. The next prime is 12101201003. The reversal of 12101201000 is 10210121.

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

It is not an unprimeable number, because it can be changed into a prime (12101201003) 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, 966782 + ... + 979218.

It is an arithmetic number, because the mean of its divisors is an integer number (254668050).

Almost surely, 212101201000 is an apocalyptic number.

12101201000 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 12101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298755200).

12101201000 is an abundant number, since it is smaller than the sum of its proper divisors (20496309400).

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

12101201000 is a wasteful number, since it uses less digits than its factorization.

12101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12590 counting only the distinct ones).

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

Adding to 12101201000 its reverse (10210121), we get a palindrome (12111411121).

The spelling of 12101201000 in words is "twelve billion, one hundred one million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 139 140 175 200 250 278 280 350 500 556 695 700 875 973 1000 1112 1390 1400 1750 1946 2780 3475 3500 3892 4865 5560 6950 7000 7784 9730 12437 13900 17375 19460 24325 24874 27800 34750 38920 48650 49748 62185 69500 87059 97300 99496 121625 124370 139000 174118 194600 243250 248740 310925 348236 435295 486500 497480 621850 696472 870590 973000 1243700 1554625 1728743 1741180 2176475 2487400 3109250 3457486 3482360 4352950 6218500 6914972 8643715 8705900 10882375 12101201 12437000 13829944 17287430 17411800 21764750 24202402 34574860 43218575 43529500 48404804 60506005 69149720 86437150 87059000 96809608 121012010 172874300 216092875 242024020 302530025 345748600 432185750 484048040 605060050 864371500 1210120100 1512650125 1728743000 2420240200 3025300250 6050600500 12101201000