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212212111200020 = 22541258795257561
BaseRepresentation
bin110000010000000101111011…
…100000010100111100010100
31000211101021112220100112221222
4300100011323200110330110
5210303340400431400040
62031200521550425512
762461550641641221
oct6020057340247424
91024337486315858
10212212111200020
1161687718461168
121b974166802298
139154693197a79
143a59199daa948
1519801cd81cbb5
hexc1017b814f14

212212111200020 has 24 divisors (see below), whose sum is σ = 456514834339368. Its totient is φ = 82814482419200.

The previous prime is 212212111199987. The next prime is 212212111200031. The reversal of 212212111200020 is 20002111212212.

It can be written as a sum of positive squares in 4 ways, for example, as 16098358700176 + 196113752499844 = 4012276^2 + 14004062^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 129397627961 + ... + 129397629600.

It is an arithmetic number, because the mean of its divisors is an integer number (19021451430807).

Almost surely, 2212212111200020 is an apocalyptic number.

212212111200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212111200020 is an abundant number, since it is smaller than the sum of its proper divisors (244302723139348).

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

212212111200020 is a wasteful number, since it uses less digits than its factorization.

212212111200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258795257611 (or 258795257609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212212111200020 its reverse (20002111212212), we get a palindrome (232214222412232).

The spelling of 212212111200020 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 258795257561 517590515122 1035181030244 1293976287805 2587952575610 5175905151220 10610605560001 21221211120002 42442422240004 53053027800005 106106055600010 212212111200020