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12000122100020 = 225600006105001
BaseRepresentation
bin1010111010011111111100…
…0000111101100100110100
31120111012102010211102112102
42232213333000331210310
53033102222224200040
641304440251041232
72345660132601155
oct256477700754464
946435363742472
1012000122100020
1139072500a040a
121419854740218
136907b6aa0612
142d6b47cc392c
1515c23d9dd515
hexae9ff03d934

12000122100020 has 12 divisors (see below), whose sum is σ = 25200256410084. Its totient is φ = 4800048840000.

The previous prime is 12000122099983. The next prime is 12000122100073. The reversal of 12000122100020 is 2000122100021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7051552786576 + 4948569313444 = 2655476^2 + 2224538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12000122099974 and 12000122100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300003052481 + ... + 300003052520.

It is an arithmetic number, because the mean of its divisors is an integer number (2100021367507).

Almost surely, 212000122100020 is an apocalyptic number.

12000122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000122100020 is an abundant number, since it is smaller than the sum of its proper divisors (13200134310064).

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

12000122100020 is a wasteful number, since it uses less digits than its factorization.

12000122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600006105010 (or 600006105008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000122100020 its reverse (2000122100021), we get a palindrome (14000244200041).

Subtracting from 12000122100020 its reverse (2000122100021), we obtain a palindrome (9999999999999).

The spelling of 12000122100020 in words is "twelve trillion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 600006105001 1200012210002 2400024420004 3000030525005 6000061050010 12000122100020