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21122212220120 = 23511315342716841
BaseRepresentation
bin1001100110101111001011…
…11101001100110011011000
32202210021010021201222010202
410303113211331030303120
510232031242312020440
6112531224344401332
74310013052346444
oct463274575146330
982707107658122
1021122212220120
116803975163840
122451762176248
13ba2a7bb8650b
1453046b749824
152696858d5615
hex1335e5f4ccd8

21122212220120 has 256 divisors, whose sum is σ = 54548373749760. Its totient is φ = 7290017280000.

The previous prime is 21122212220093. The next prime is 21122212220129. The reversal of 21122212220120 is 2102221222112.

It is a super-2 number, since 2×211222122201202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21122212220092 and 21122212220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122212220129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3087587900 + ... + 3087594740.

It is an arithmetic number, because the mean of its divisors is an integer number (213079584960).

Almost surely, 221122212220120 is an apocalyptic number.

21122212220120 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 21122212220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27274186874880).

21122212220120 is an abundant number, since it is smaller than the sum of its proper divisors (33426161529640).

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

21122212220120 is a wasteful number, since it uses less digits than its factorization.

21122212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21122212220120 its reverse (2102221222112), we get a palindrome (23224433442232).

The spelling of 21122212220120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".