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12122021121100 = 225211101109109101
BaseRepresentation
bin1011000001100110000011…
…0000110100110001001100
31120220212001111100022012221
42300121200300310301030
53042101344401333400
641440440222105124
72360533661305162
oct260314060646114
946825044308187
1012122021121100
113953a139a2140
1214393b441b1a4
1369c142537aa7
142dc9cd51b232
151604c555bc1a
hexb0660c34c4c

12122021121100 has 72 divisors (see below), whose sum is σ = 28980250364016. Its totient is φ = 4364364000000.

The previous prime is 12122021121071. The next prime is 12122021121101. The reversal of 12122021121100 is 112112022121.

It is not an unprimeable number, because it can be changed into a prime (12122021121101) 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, 54443451 + ... + 54665650.

It is an arithmetic number, because the mean of its divisors is an integer number (402503477278).

Almost surely, 212122021121100 is an apocalyptic number.

12122021121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122021121100 is an abundant number, since it is smaller than the sum of its proper divisors (16858229242916).

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

12122021121100 is a wasteful number, since it uses less digits than its factorization.

12122021121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109109227 (or 109109220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122021121100 its reverse (112112022121), we get a palindrome (12234133143221).

The spelling of 12122021121100 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 109109101 218218202 436436404 545545505 1091091010 1200200111 2182182020 2400400222 2727727525 4800800444 5455455050 6001000555 10910910100 11020019201 12002001110 22040038402 24004002220 30005002775 44080076804 55100096005 60010005550 110200192010 120020011100 121220211211 220400384020 242440422422 275500480025 484880844844 551000960050 606101056055 1102001920100 1212202112110 2424404224220 3030505280275 6061010560550 12122021121100