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12212000101200 = 2435210176666751
BaseRepresentation
bin1011000110110101001111…
…1011011001001101010000
31121020110022021200002110110
42301231103323121031100
53100040134011214300
641550040532001320
72400200514104214
oct261552373311520
947213267602413
1012212000101200
113989097766709
121452926160240
136a7781baa653
143030c7706944
151629deb35550
hexb1b53ed9350

12212000101200 has 60 divisors (see below), whose sum is σ = 39119106994688. Its totient is φ = 3256533360000.

The previous prime is 12212000101181. The next prime is 12212000101207. The reversal of 12212000101200 is 210100021221.

It is a tau number, because it is divible by the number of its divisors (60).

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 (12212000101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5088332176 + ... + 5088334575.

Almost surely, 212212000101200 is an apocalyptic number.

12212000101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000101200 is an abundant number, since it is smaller than the sum of its proper divisors (26907106893488).

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

12212000101200 is a wasteful number, since it uses less digits than its factorization.

12212000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176666772 (or 10176666761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212000101200 its reverse (210100021221), we get a palindrome (12422100122421).

The spelling of 12212000101200 in words is "twelve trillion, two hundred twelve billion, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10176666751 20353333502 30530000253 40706667004 50883333755 61060000506 81413334008 101766667510 122120001012 152650001265 162826668016 203533335020 244240002024 254416668775 305300002530 407066670040 488480004048 508833337550 610600005060 763250006325 814133340080 1017666675100 1221200010120 1526500012650 2035333350200 2442400020240 3053000025300 4070666700400 6106000050600 12212000101200