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211212121002120 = 2332572937615472341
BaseRepresentation
bin110000000001100010100111…
…011100011101000010001000
31000200211200101212101010102200
4300001202213130131002020
5210140444410434031440
62025113301530200200
762326400153335560
oct6001424734350210
91020750355333380
10211212121002120
1161331615020787
121b8323a7b83060
1390b12a9c519b4
143a22a14d95da0
1519641a2d90c30
hexc018a771d088

211212121002120 has 1536 divisors, whose sum is σ = 849062849356800. Its totient is φ = 44508480307200.

The previous prime is 211212121002107. The next prime is 211212121002163. The reversal of 211212121002120 is 21200121212112.

211212121002120 is a `hidden beast` number, since 21 + 121 + 212 + 100 + 212 + 0 = 666.

It is a super-2 number, since 2×2112121210021202 (a number of 29 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 = 211212121002093 and 211212121002102.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90223032150 + ... + 90223034490.

It is an arithmetic number, because the mean of its divisors is an integer number (552775292550).

Almost surely, 2211212121002120 is an apocalyptic number.

211212121002120 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 211212121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424531424678400).

211212121002120 is an abundant number, since it is smaller than the sum of its proper divisors (637850728354680).

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

211212121002120 is a wasteful number, since it uses less digits than its factorization.

211212121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211212121002120 its reverse (21200121212112), we get a palindrome (232412242214232).

The spelling of 211212121002120 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, one hundred twenty".