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12212201111121 = 32117115711066257
BaseRepresentation
bin1011000110110101111111…
…1010001011111001010001
31121020110211021220110020100
42301231133322023321101
53100041041441023441
641550112512203013
72400205504466034
oct261553772137121
947213737813210
1012212201111121
113989190179410
121452981539469
136a77b472952b
143031062ad01b
15162a025ddcb6
hexb1b5fe8be51

12212201111121 has 48 divisors (see below), whose sum is σ = 19638801157248. Its totient is φ = 7250610931200.

The previous prime is 12212201111101. The next prime is 12212201111203. The reversal of 12212201111121 is 12111110221221.

It is a happy number.

12212201111121 is a `hidden beast` number, since 1 + 221 + 220 + 111 + 112 + 1 = 666.

It is not a de Polignac number, because 12212201111121 - 215 = 12212201078353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212201111094 and 12212201111103.

It is not an unprimeable number, because it can be changed into a prime (12212201111101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429576 + ... + 6636681.

It is an arithmetic number, because the mean of its divisors is an integer number (409141690776).

Almost surely, 212212201111121 is an apocalyptic number.

12212201111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212201111121 is a deficient number, since it is larger than the sum of its proper divisors (7426600046127).

12212201111121 is a wasteful number, since it uses less digits than its factorization.

12212201111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066502 (or 11066499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12212201111121 its reverse (12111110221221), we get a palindrome (24323311332342).

The spelling of 12212201111121 in words is "twelve trillion, two hundred twelve billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 71 99 157 213 471 639 781 1413 1727 2343 5181 7029 11147 15543 33441 100323 122617 367851 1103553 11066257 33198771 99596313 121728827 365186481 785704247 1095559443 1737402349 2357112741 5212207047 7071338223 8642746717 15636621141 19111425839 25928240151 57334277517 77784720453 123355566779 172002832551 370066700337 1110200101011 1356911234569 4070733703707 12212201111121