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12002020222221 = 326613677548677
BaseRepresentation
bin1010111010100111000000…
…1001101110010100001101
31120111101022102111000200200
42232221300021232110031
53033120114134102341
641305352454244113
72346055151430141
oct256516011562415
946441272430620
1012002020222221
113908034583747
12141a0a4356639
13690a2a0c7553
142d6c8801d221
1515c300479db6
hexaea7026e50d

12002020222221 has 24 divisors (see below), whose sum is σ = 17367232308504. Its totient is φ = 7987054584960.

The previous prime is 12002020222147. The next prime is 12002020222277. The reversal of 12002020222221 is 12222202020021.

12002020222221 is a `hidden beast` number, since 1 + 20 + 0 + 202 + 0 + 222 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1706354375625 + 10295665846596 = 1306275^2 + 3208686^2 .

It is not a de Polignac number, because 12002020222221 - 222 = 12002016027917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002020222194 and 12002020222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020222121) 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, 21600135 + ... + 22148811.

It is an arithmetic number, because the mean of its divisors is an integer number (723634679521).

Almost surely, 212002020222221 is an apocalyptic number.

It is an amenable number.

12002020222221 is a deficient number, since it is larger than the sum of its proper divisors (5365212086283).

12002020222221 is a wasteful number, since it uses less digits than its factorization.

12002020222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553021 (or 553018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12002020222221 its reverse (12222202020021), we get a palindrome (24224222242242).

The spelling of 12002020222221 in words is "twelve trillion, two billion, twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 661 1983 3677 5949 11031 33093 548677 1646031 2430497 4938093 7291491 21874473 362675497 1088026491 2017485329 3264079473 6052455987 18157367961 1333557802469 4000673407407 12002020222221