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12200130222100 = 2252293419993763
BaseRepresentation
bin1011000110001001000001…
…1011011001100000010100
31121012022200001101202102121
42301202100123121200110
53044341331314101400
641540355031145324
72366300412563542
oct261422033314024
947168601352377
1012200130222100
1139840564a9877
121450572b15244
136a660c9a4652
143026bd0bad92
15162547a1921a
hexb18906d9814

12200130222100 has 72 divisors (see below), whose sum is σ = 26628065382240. Its totient is φ = 4851784586880.

The previous prime is 12200130222067. The next prime is 12200130222103. The reversal of 12200130222100 is 122203100221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200130222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11779819 + ... + 12773581.

It is an arithmetic number, because the mean of its divisors is an integer number (369834241420).

Almost surely, 212200130222100 is an apocalyptic number.

12200130222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200130222100 is an abundant number, since it is smaller than the sum of its proper divisors (14427935160140).

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

12200130222100 is a wasteful number, since it uses less digits than its factorization.

12200130222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994489 (or 994482 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12200130222100 its reverse (122203100221), we get a palindrome (12322333322321).

The spelling of 12200130222100 in words is "twelve trillion, two hundred billion, one hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 419 586 838 1172 1465 1676 2095 2930 4190 5860 7325 8380 10475 14650 20950 29300 41900 122767 245534 491068 613835 993763 1227670 1987526 2455340 3069175 3975052 4968815 6138350 9937630 12276700 19875260 24844075 49688150 99376300 291172559 416386697 582345118 832773394 1164690236 1455862795 1665546788 2081933485 2911725590 4163866970 5823451180 7279313975 8327733940 10409667425 14558627950 20819334850 29117255900 41638669700 122001302221 244002604442 488005208884 610006511105 1220013022210 2440026044420 3050032555525 6100065111050 12200130222100