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21222021021120 = 263551032649679
BaseRepresentation
bin1001101001101001000110…
…00001100011110111000000
32210010210202010121101200000
410310310203001203313000
510240200144340133440
6113045132321400000
74320145315224453
oct464644301436700
983123663541600
1021222021021120
116842232678237
122468b77a99000
13bac2c6ba084a
1453521923949a
1526c077e53730
hex134d23063dc0

21222021021120 has 336 divisors, whose sum is σ = 76433389992960. Its totient is φ = 5604259746816.

The previous prime is 21222021021119. The next prime is 21222021021127. The reversal of 21222021021120 is 2112012022212.

It is a happy number.

21222021021120 is a `hidden beast` number, since 2 + 1 + 2 + 220 + 210 + 211 + 20 = 666.

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 = 21222021021093 and 21222021021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222021021127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6684441 + ... + 9334119.

It is an arithmetic number, because the mean of its divisors is an integer number (227480327360).

Almost surely, 221222021021120 is an apocalyptic number.

21222021021120 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 21222021021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38216694996480).

21222021021120 is an abundant number, since it is smaller than the sum of its proper divisors (55211368971840).

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

21222021021120 is a wasteful number, since it uses less digits than its factorization.

21222021021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649814 (or 2649792 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222021021120 its reverse (2112012022212), we get a palindrome (23334033043332).

The spelling of 21222021021120 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred twenty".