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21211120001120 = 25571011177915919
BaseRepresentation
bin1001101001010100110010…
…10001011110000001100000
32210002202121102102012110112
410310222121101132001200
510240010333210013440
6113040130510550452
74316311220125160
oct464523121360140
983082542365415
1021211120001120
1168386492a45a5
122466a35208428
13bab27a62065a
145348a35725a0
1526bb3ae16965
hex134a9945e060

21211120001120 has 192 divisors, whose sum is σ = 57845597644800. Its totient is φ = 7199316633600.

The previous prime is 21211120001101. The next prime is 21211120001129. The reversal of 21211120001120 is 2110002111212.

It is a super-2 number, since 2×212111200011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21211120001095 and 21211120001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211120001129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332432521 + ... + 1332448439.

It is an arithmetic number, because the mean of its divisors is an integer number (301279154400).

Almost surely, 221211120001120 is an apocalyptic number.

21211120001120 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 21211120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922798822400).

21211120001120 is an abundant number, since it is smaller than the sum of its proper divisors (36634477643680).

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

21211120001120 is a wasteful number, since it uses less digits than its factorization.

21211120001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21211120001120 its reverse (2110002111212), we get a palindrome (23321122112332).

The spelling of 21211120001120 in words is "twenty-one trillion, two hundred eleven billion, one hundred twenty million, one thousand, one hundred twenty".