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211212222120 = 2332517101341701
BaseRepresentation
bin1100010010110100111…
…0101011111010101000
3202012011202001120202100
43010231032223322220
511430030312101440
6241010214533400
721155015160144
oct3045516537250
9665152046670
10211212222120
118163587a679
1234b26667260
1316bc01bcc33
14a319236224
155762984230
hex312d3abea8

211212222120 has 192 divisors, whose sum is σ = 734016900240. Its totient is φ = 52485120000.

The previous prime is 211212222083. The next prime is 211212222121. The reversal of 211212222120 is 21222212112.

It is a happy number.

211212222120 is a `hidden beast` number, since 211 + 21 + 222 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 167155051716 + 44057170404 = 408846^2 + 209898^2 .

It is a super-2 number, since 2×2112122221202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211212222093 and 211212222102.

It is not an unprimeable number, because it can be changed into a prime (211212222121) 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, 447270 + ... + 788970.

Almost surely, 2211212222120 is an apocalyptic number.

211212222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367008450120).

211212222120 is an abundant number, since it is smaller than the sum of its proper divisors (522804678120).

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

211212222120 is a wasteful number, since it uses less digits than its factorization.

211212222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341836 (or 341829 counting only the distinct ones).

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

Adding to 211212222120 its reverse (21222212112), we get a palindrome (232434434232).

The spelling of 211212222120 in words is "two hundred eleven billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".