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22012110220120 = 23523732238871657
BaseRepresentation
bin1010000000101000110000…
…00000101010101101011000
32212221100002210211021112221
411000110120000222231120
510341121300204020440
6114452120203113424
74431215416503106
oct500243000525530
985840083737487
1022012110220120
1170173134014a9
122576117212874
13c3896b791217
1456156b21ac76
152828bb106d4a
hex14051802ab58

22012110220120 has 256 divisors, whose sum is σ = 52714607984640. Its totient is φ = 8255097151488.

The previous prime is 22012110220049. The next prime is 22012110220147. The reversal of 22012110220120 is 2102201121022.

It is a happy number.

It is a super-2 number, since 2×220121102201202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22012110220094 and 22012110220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13284314332 + ... + 13284315988.

It is an arithmetic number, because the mean of its divisors is an integer number (205916437440).

Almost surely, 222012110220120 is an apocalyptic number.

22012110220120 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 22012110220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357303992320).

22012110220120 is an abundant number, since it is smaller than the sum of its proper divisors (30702497764520).

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

22012110220120 is a wasteful number, since it uses less digits than its factorization.

22012110220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22012110220120 its reverse (2102201121022), we get a palindrome (24114311341142).

The spelling of 22012110220120 in words is "twenty-two trillion, twelve billion, one hundred ten million, two hundred twenty thousand, one hundred twenty".