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2112122200221 = 3211229367253853
BaseRepresentation
bin11110101111000100010…
…010110010000010011101
321110220202102112202202100
4132233010102302002131
5234101111240401341
64254143500515313
7305411233324125
oct36570422620235
97426672482670
102112122200221
11744822a12380
122a141554bb39
13124231622b47
147432785bc85
1539e1b5753b6
hex1ebc44b209d

2112122200221 has 48 divisors (see below), whose sum is σ = 3351847599360. Its totient is φ = 1271006501760.

The previous prime is 2112122200219. The next prime is 2112122200229. The reversal of 2112122200221 is 1220022212112.

It is a happy number.

2112122200221 is a `hidden beast` number, since 2 + 11 + 212 + 220 + 0 + 221 = 666.

It is not a de Polignac number, because 2112122200221 - 21 = 2112122200219 is a prime.

It is a super-2 number, since 2×21121222002212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122200194 and 2112122200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122200229) 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, 8193331 + ... + 8447183.

It is an arithmetic number, because the mean of its divisors is an integer number (69830158320).

Almost surely, 22112122200221 is an apocalyptic number.

It is an amenable number.

2112122200221 is a deficient number, since it is larger than the sum of its proper divisors (1239725399139).

2112122200221 is a wasteful number, since it uses less digits than its factorization.

2112122200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254466 (or 254463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112122200221 its reverse (1220022212112), we get a palindrome (3332144412333).

The spelling of 2112122200221 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 229 367 687 1101 2061 2519 3303 4037 7557 12111 22671 36333 84043 252129 253853 756387 761559 924473 2284677 2773419 2792383 8320257 8377149 25131447 58132337 93164051 174397011 279492153 523191033 639455707 838476459 1024804561 1918367121 3074413683 5755101363 9223241049 21334567679 64003703037 192011109111 234680244469 704040733407 2112122200221