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12122111200221 = 3211373309339667
BaseRepresentation
bin1011000001100110011000…
…1000011100101111011101
31120220212021202211210112200
42300121212020130233131
53042102040431401341
641440453200522113
72360536134050421
oct260314610345735
946825252753480
1012122111200221
113953a5a8279a0
12143941a620339
1369c1580b6a49
142dc9db488b81
151604cd401db6
hexb066621cbdd

12122111200221 has 24 divisors (see below), whose sum is σ = 19617765551904. Its totient is φ = 7148173678560.

The previous prime is 12122111200211. The next prime is 12122111200249. The reversal of 12122111200221 is 12200211122121.

12122111200221 is a `hidden beast` number, since 1 + 21 + 221 + 1 + 1 + 200 + 221 = 666.

12122111200221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12122111200221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122111200194 and 12122111200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122111200211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654666171 + ... + 1654673496.

It is an arithmetic number, because the mean of its divisors is an integer number (817406897996).

Almost surely, 212122111200221 is an apocalyptic number.

12122111200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122111200221 is a deficient number, since it is larger than the sum of its proper divisors (7495654351683).

12122111200221 is a wasteful number, since it uses less digits than its factorization.

12122111200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309339721 (or 3309339718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122111200221 its reverse (12200211122121), we get a palindrome (24322322322342).

The spelling of 12122111200221 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 3309339667 9928019001 29784057003 36402736337 109208209011 122445567679 327624627033 367336703037 1102010109111 1346901244469 4040703733407 12122111200221