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212122012111220 = 22519373547468157
BaseRepresentation
bin110000001110110010000001…
…001011100101000101110100
31000211001122222202000121120002
4300032302001023211011310
5210300401340100024340
62031051301310330432
762452211130216101
oct6016620113450564
91024048882017502
10212122012111220
1161652492911202
121b95a8007b9a18
139149034990983
143a54a8dc77aa8
15197cba891b715
hexc0ec812e5174

212122012111220 has 24 divisors (see below), whose sum is σ = 445479219909864. Its totient is φ = 84844424944256.

The previous prime is 212122012111213. The next prime is 212122012111277. The reversal of 212122012111220 is 22111210221212.

It can be written as a sum of positive squares in 4 ways, for example, as 21603123143056 + 190518888968164 = 4647916^2 + 13802858^2 .

It is a super-2 number, since 2×2121220121112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212122012111192 and 212122012111201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273346619 + ... + 274121538.

It is an arithmetic number, because the mean of its divisors is an integer number (18561634162911).

Almost surely, 2212122012111220 is an apocalyptic number.

212122012111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122012111220 is an abundant number, since it is smaller than the sum of its proper divisors (233357207798644).

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

212122012111220 is a wasteful number, since it uses less digits than its factorization.

212122012111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547487539 (or 547487537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212122012111220 its reverse (22111210221212), we get a palindrome (234233222332432).

The spelling of 212122012111220 in words is "two hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 19373 38746 77492 96865 193730 387460 547468157 1094936314 2189872628 2737340785 5474681570 10949363140 10606100605561 21212201211122 42424402422244 53030503027805 106061006055610 212122012111220