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21121222212 = 223217101341701
BaseRepresentation
bin10011101010111011…
…000100011001000100
32000111222022020222100
4103222323010121010
5321224013102322
613411501032100
71345255266216
oct235273043104
960458266870
1021121222212
118a59419952
124115555630
131cb7a7912c
14104518a5b6
158393e4dac
hex4eaec4644

21121222212 has 72 divisors (see below), whose sum is σ = 57090203352. Its totient is φ = 6560640000.

The previous prime is 21121222211. The next prime is 21121222217. The reversal of 21121222212 is 21222212112.

It is a happy number.

21121222212 is a `hidden beast` number, since 211 + 21 + 222 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10335568896 + 10785653316 = 101664^2 + 103854^2 .

It is a super-2 number, since 2×211212222122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21121222211) 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, 109039 + ... + 232662.

It is an arithmetic number, because the mean of its divisors is an integer number (792919491).

Almost surely, 221121222212 is an apocalyptic number.

It is an amenable number.

21121222212 is an abundant number, since it is smaller than the sum of its proper divisors (35968981140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21121222212 is a wasteful number, since it uses less digits than its factorization.

21121222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341829 (or 341824 counting only the distinct ones).

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

Adding to 21121222212 its reverse (21222212112), we get a palindrome (42343434324).

The spelling of 21121222212 in words is "twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 5151 6868 10302 15453 20604 30906 61812 341701 683402 1025103 1366804 2050206 3075309 4100412 5808917 6150618 11617834 12301236 17426751 23235668 34511801 34853502 52280253 69023602 69707004 103535403 104560506 138047204 207070806 209121012 310606209 414141612 586700617 621212418 1173401234 1242424836 1760101851 2346802468 3520203702 5280305553 7040407404 10560611106 21121222212