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212021212211120 = 245134127124377529
BaseRepresentation
bin110000001101010100001001…
…000010011110011110110000
31000210201000210211020010122202
4300031110021002132132300
5210242223420311223440
62030533111130522332
762442012201211244
oct6015241102363660
91023630724203582
10212021212211120
1161613766a03344
121b94316ab963a8
13913c68c534980
143a4dc4a8b6424
15197a259379615
hexc0d50909e7b0

212021212211120 has 320 divisors, whose sum is σ = 546119711101440. Its totient is φ = 76052216217600.

The previous prime is 212021212211119. The next prime is 212021212211231. The reversal of 212021212211120 is 21112212120212.

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 = 212021212211092 and 212021212211101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28160603516 + ... + 28160611044.

It is an arithmetic number, because the mean of its divisors is an integer number (1706624097192).

Almost surely, 2212021212211120 is an apocalyptic number.

212021212211120 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 212021212211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273059855550720).

212021212211120 is an abundant number, since it is smaller than the sum of its proper divisors (334098498890320).

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

212021212211120 is a wasteful number, since it uses less digits than its factorization.

212021212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10298 counting only the distinct ones).

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

Adding to 212021212211120 its reverse (21112212120212), we get a palindrome (233133424331332).

The spelling of 212021212211120 in words is "two hundred twelve trillion, twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".