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12200121100 = 2252559121821
BaseRepresentation
bin10110101110010111…
…10001001100001100
31011111020200100220001
423113023301030030
5144441212333400
65334334534044
7611221214116
oct132713611414
934436610801
1012200121100
1151a0717612
122445967324
1311c5761c8b
1483a4323b6
154b6100a6a
hex2d72f130c

12200121100 has 36 divisors (see below), whose sum is σ = 26480211408. Its totient is φ = 4878952000.

The previous prime is 12200121091. The next prime is 12200121133. The reversal of 12200121100 is 112100221.

12200121100 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 (10).

It is an unprimeable number.

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, 548190 + ... + 570010.

It is an arithmetic number, because the mean of its divisors is an integer number (735561428).

Almost surely, 212200121100 is an apocalyptic number.

12200121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200121100 is an abundant number, since it is smaller than the sum of its proper divisors (14280090308).

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

12200121100 is a wasteful number, since it uses less digits than its factorization.

12200121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27426 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200121100 its reverse (112100221), we get a palindrome (12312221321).

It can be divided in two parts, 12200121 and 100, that added together give a palindrome (12200221).

The spelling of 12200121100 in words is "twelve billion, two hundred million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5591 11182 21821 22364 27955 43642 55910 87284 109105 111820 139775 218210 279550 436420 545525 559100 1091050 2182100 122001211 244002422 488004844 610006055 1220012110 2440024220 3050030275 6100060550 12200121100