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12211232000121 = 327211171937920563
BaseRepresentation
bin1011000110110010011000…
…1001010100100001111001
31121020101022202100111212100
42301230212021110201321
53100032100343000441
641545432412534013
72400142466255400
oct261544611244171
947211282314770
1012211232000121
113988833132a30
121452750a81309
136a768ba15b7b
143030536c2637
151629974aecb6
hexb1b26254879

12211232000121 has 288 divisors, whose sum is σ = 25014576038400. Its totient is φ = 5640923151360.

The previous prime is 12211232000069. The next prime is 12211232000129. The reversal of 12211232000121 is 12100023211221.

12211232000121 is a `hidden beast` number, since 1 + 221 + 1 + 2 + 320 + 0 + 0 + 121 = 666.

It is not a de Polignac number, because 12211232000121 - 29 = 12211231999609 is a prime.

It is a super-2 number, since 2×122112320001212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211232000094 and 12211232000103.

It is not an unprimeable number, because it can be changed into a prime (12211232000129) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 593834586 + ... + 593855148.

It is an arithmetic number, because the mean of its divisors is an integer number (86856166800).

Almost surely, 212211232000121 is an apocalyptic number.

12211232000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211232000121 is an abundant number, since it is smaller than the sum of its proper divisors (12803344038279).

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

12211232000121 is a wasteful number, since it uses less digits than its factorization.

12211232000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21009 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211232000121 its reverse (12100023211221), we get a palindrome (24311255211342).

The spelling of 12211232000121 in words is "twelve trillion, two hundred eleven billion, two hundred thirty-two million, one hundred twenty-one", and thus it is an aban number.