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12212022112000 = 2853381625691
BaseRepresentation
bin1011000110110101010100…
…1111010110111100000000
31121020110100211002100121021
42301231111033112330000
53100040210130041000
641550043035435224
72400201202146514
oct261552517267400
947213324070537
1012212022112000
1139890a912a757
1214529315b5b14
136a77866160a9
143030ca5d6144
151629e1a3211a
hexb1b553d6f00

12212022112000 has 72 divisors (see below), whose sum is σ = 30421673663472. Its totient is φ = 4884808832000.

The previous prime is 12212022111911. The next prime is 12212022112039. The reversal of 12212022112000 is 21122021221.

It is a happy number.

12212022112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190780846 + ... + 190844845.

It is an arithmetic number, because the mean of its divisors is an integer number (422523245326).

Almost surely, 212212022112000 is an apocalyptic number.

12212022112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212022112000 is an abundant number, since it is smaller than the sum of its proper divisors (18209651551472).

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

12212022112000 is an frugal number, since it uses more digits than its factorization.

12212022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381625722 (or 381625698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212022112000 its reverse (21122021221), we get a palindrome (12233144133221).

The spelling of 12212022112000 in words is "twelve trillion, two hundred twelve billion, twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 381625691 763251382 1526502764 1908128455 3053005528 3816256910 6106011056 7632513820 9540642275 12212022112 15265027640 19081284550 24424044224 30530055280 38162569100 47703211375 48848088448 61060110560 76325138200 95406422750 97696176896 122120221120 152650276400 190812845500 244240442240 305300552800 381625691000 488480884480 610601105600 763251382000 1221202211200 1526502764000 2442404422400 3053005528000 6106011056000 12212022112000