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212211112320 = 27325229160883
BaseRepresentation
bin1100010110100011000…
…1001001100110000000
3202021202100122110111200
43011220301021212000
511434102021043240
6241253300341200
721221534456364
oct3055061114600
9667670573450
10212211112320
1181aa8705669
12351650a4800
131701c12bc1c
14a3b1b752a4
1557c04e6930
hex3168c49980

212211112320 has 192 divisors, whose sum is σ = 735996034800. Its totient is φ = 56342163456.

The previous prime is 212211112307. The next prime is 212211112357. The reversal of 212211112320 is 23211112212.

212211112320 is a `hidden beast` number, since 21 + 2 + 211 + 112 + 320 = 666.

212211112320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 212211112293 and 212211112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238599 + ... + 1399481.

Almost surely, 2212211112320 is an apocalyptic number.

212211112320 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 212211112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367998017400).

212211112320 is an abundant number, since it is smaller than the sum of its proper divisors (523784922480).

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

212211112320 is a wasteful number, since it uses less digits than its factorization.

212211112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161137 (or 161122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212211112320 its reverse (23211112212), we get a palindrome (235422224532).

The spelling of 212211112320 in words is "two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, three hundred twenty".