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212112111120 = 243571337262489
BaseRepresentation
bin1100010110001011011…
…1011111011000010000
3202021111110100200101120
43011202313133120100
511433401200023440
6241235402402240
721216223124220
oct3054267373020
9667443320346
10212112111120
1181a57836598
1235137b00380
1317004777c30
14a3a2964080
1557b698cdd0
hex3162ddf610

212112111120 has 320 divisors, whose sum is σ = 831165135360. Its totient is φ = 43543609344.

The previous prime is 212112111089. The next prime is 212112111131. The reversal of 212112111120 is 21111211212.

It is a happy number.

212112111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212112111120.

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 63 ways as a sum of consecutive naturals, for example, 676836 + ... + 939324.

It is an arithmetic number, because the mean of its divisors is an integer number (2597391048).

Almost surely, 2212112111120 is an apocalyptic number.

212112111120 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 212112111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415582567680).

212112111120 is an abundant number, since it is smaller than the sum of its proper divisors (619053024240).

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

212112111120 is a wasteful number, since it uses less digits than its factorization.

212112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262562 (or 262556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212112111120 its reverse (21111211212), we get a palindrome (233223322332).

The spelling of 212112111120 in words is "two hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".