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20121222033 = 3211412120907
BaseRepresentation
bin10010101111010100…
…010111101110010001
31220221021121222121200
4102233110113232101
5312202013101113
613124335341413
71311423364623
oct225724275621
956837558550
1020121222033
1185959a5a20
123a96681869
131b8883bb53
14d8c43cc13
157cb713873
hex4af517b91

20121222033 has 36 divisors (see below), whose sum is σ = 32498619504. Its totient is φ = 11897150400.

The previous prime is 20121222001. The next prime is 20121222041. The reversal of 20121222033 is 33022212102.

20121222033 is a `hidden beast` number, since 201 + 212 + 220 + 33 = 666.

It is not a de Polignac number, because 20121222033 - 25 = 20121222001 is a prime.

It is a super-2 number, since 2×201212220332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121221997 and 20121222015.

It is not an unprimeable number, because it can be changed into a prime (20121222533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105966 + ... + 226872.

Almost surely, 220121222033 is an apocalyptic number.

It is an amenable number.

20121222033 is a deficient number, since it is larger than the sum of its proper divisors (12377397471).

20121222033 is a wasteful number, since it uses less digits than its factorization.

20121222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121006 (or 120962 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20121222033 its reverse (33022212102), we get a palindrome (53143434135).

The spelling of 20121222033 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 1681 4059 5043 15129 18491 55473 120907 166419 362721 1088163 1329977 3989931 4957187 11969793 14871561 44614683 54529057 163587171 203244667 490761513 609734001 1829202003 2235691337 6707074011 20121222033