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2212121301120 = 2735552327197
BaseRepresentation
bin100000001100001100101…
…101000101000010000000
321211110212112111102200000
4200030030231011002000
5242220411023113440
64412122352400000
7315551266546263
oct40141455050200
97743775442600
102212121301120
11783178893a15
122b8882b46000
131307a9ba9273
14790d2726cda
153c820683730
hex2030cb45080

2212121301120 has 384 divisors, whose sum is σ = 7937085723840. Its totient is φ = 588749451264.

The previous prime is 2212121301113. The next prime is 2212121301151. The reversal of 2212121301120 is 211031212122.

2212121301120 is a `hidden beast` number, since 221 + 2 + 1 + 21 + 301 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2212121301093 and 2212121301102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81323362 + ... + 81350558.

Almost surely, 22212121301120 is an apocalyptic number.

2212121301120 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 2212121301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968542861920).

2212121301120 is an abundant number, since it is smaller than the sum of its proper divisors (5724964422720).

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

2212121301120 is an equidigital number, since it uses as much as digits as its factorization.

2212121301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27754 (or 27730 counting only the distinct ones).

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

Adding to 2212121301120 its reverse (211031212122), we get a palindrome (2423152513242).

The spelling of 2212121301120 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, three hundred one thousand, one hundred twenty".