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21211212021120 = 27325111031324707
BaseRepresentation
bin1001101001010100111101…
…10000011111110110000000
32210002202211211120022011200
410310222132300133312000
510240011030234133440
6113040143555141200
74316313415233102
oct464523660376600
983082754508150
1021211212021120
116838696235590
122466a5bba4800
13bab2936cbb64
145348b1887572
1526bb44041c30
hex134a9ec1fd80

21211212021120 has 384 divisors, whose sum is σ = 79981347214080. Its totient is φ = 5137108684800.

The previous prime is 21211212021119. The next prime is 21211212021161. The reversal of 21211212021120 is 2112021211212.

21211212021120 is a `hidden beast` number, since 212 + 11 + 212 + 0 + 211 + 20 = 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 = 21211212021093 and 21211212021102.

It is a congruent number.

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, 65161807 + ... + 65486513.

It is an arithmetic number, because the mean of its divisors is an integer number (208284758370).

Almost surely, 221211212021120 is an apocalyptic number.

21211212021120 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 21211212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39990673607040).

21211212021120 is an abundant number, since it is smaller than the sum of its proper divisors (58770135192960).

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

21211212021120 is a wasteful number, since it uses less digits than its factorization.

21211212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325774 (or 325759 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211212021120 its reverse (2112021211212), we get a palindrome (23323233232332).

The spelling of 21211212021120 in words is "twenty-one trillion, two hundred eleven billion, two hundred twelve million, twenty-one thousand, one hundred twenty".