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12200202220100 = 2252292979416419
BaseRepresentation
bin1011000110001001010010…
…1110000011001001000100
31121012022212001212122010012
42301202110232003021010
53044342003232020400
641540410122245352
72366302245551336
oct261422456031104
947168761778105
1012200202220100
113984093104a54
121450593056858
136a662189270b
143026c889d456
1516254dedbd35
hexb1894b83244

12200202220100 has 36 divisors (see below), whose sum is σ = 26474592757200. Its totient is φ = 4880052512160.

The previous prime is 12200202220079. The next prime is 12200202220109. The reversal of 12200202220100 is 102220200221.

It is a super-2 number, since 2×122002022201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200202220109) 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 11 ways as a sum of consecutive naturals, for example, 29089691 + ... + 29506109.

Almost surely, 212200202220100 is an apocalyptic number.

12200202220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200202220100 is an abundant number, since it is smaller than the sum of its proper divisors (14274390537100).

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

12200202220100 is a wasteful number, since it uses less digits than its factorization.

12200202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709412 (or 709405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12200202220100 its reverse (102220200221), we get a palindrome (12302422420321).

The spelling of 12200202220100 in words is "twelve trillion, two hundred billion, two hundred two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 292979 416419 585958 832838 1171916 1464895 1665676 2082095 2929790 4164190 5859580 7324475 8328380 10410475 14648950 20820950 29297900 41641900 122002022201 244004044402 488008088804 610010111005 1220020222010 2440040444020 3050050555025 6100101110050 12200202220100