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12202202212000 = 25533323918011
BaseRepresentation
bin1011000110010000101111…
…1011011010011010100000
31121012112000110012202020021
42301210023323122122200
53044410102231241000
641541340405123224
72366402642320453
oct261441373323240
947175013182207
1012202202212000
113984a1a046519
121450a509b9514
136a6880036188
1430283835549a
1516261989c11a
hexb190beda6a0

12202202212000 has 96 divisors (see below), whose sum is σ = 29989865715264. Its totient is φ = 4879406752000.

The previous prime is 12202202211989. The next prime is 12202202212003. The reversal of 12202202212000 is 21220220221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12202202212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12832995 + ... + 13751005.

It is an arithmetic number, because the mean of its divisors is an integer number (312394434534).

Almost surely, 212202202212000 is an apocalyptic number.

12202202212000 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 12202202212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994932857632).

12202202212000 is an abundant number, since it is smaller than the sum of its proper divisors (17787663503264).

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

12202202212000 is an equidigital number, since it uses as much as digits as its factorization.

12202202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921359 (or 921341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12202202212000 its reverse (21220220221), we get a palindrome (12223422432221).

The spelling of 12202202212000 in words is "twelve trillion, two hundred two billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3323 4000 6646 13292 16615 26584 33230 53168 66460 83075 106336 132920 166150 265840 332300 415375 531680 664600 830750 918011 1329200 1661500 1836022 2658400 3323000 3672044 4590055 6646000 7344088 9180110 13292000 14688176 18360220 22950275 29376352 36720440 45900550 73440880 91801100 114751375 146881760 183602200 229502750 367204400 459005500 734408800 918011000 1836022000 3050550553 3672044000 6101101106 12202202212 15252752765 24404404424 30505505530 48808808848 61011011060 76263763825 97617617696 122022022120 152527527650 244044044240 305055055300 381318819125 488088088480 610110110600 762637638250 1220220221200 1525275276500 2440440442400 3050550553000 6101101106000 12202202212000