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22122220120 = 23572111378929
BaseRepresentation
bin10100100110100101…
…100100101001011000
32010002201212012221221
4110212211210221120
5330301242020440
614055055541424
71412131524400
oct244645445130
963081765857
1022122220120
119422464450
12435482a874
1321172755a0
1410dc0b7800
15897221d4a
hex526964a58

22122220120 has 192 divisors, whose sum is σ = 68025031200. Its totient is φ = 6364753920.

The previous prime is 22122220033. The next prime is 22122220121. The reversal of 22122220120 is 2102222122.

It is a junction number, because it is equal to n+sod(n) for n = 22122220094 and 22122220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122220121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240816 + ... + 319744.

Almost surely, 222122220120 is an apocalyptic number.

22122220120 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 22122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34012515600).

22122220120 is an abundant number, since it is smaller than the sum of its proper divisors (45902811080).

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

22122220120 is a wasteful number, since it uses less digits than its factorization.

22122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78978 (or 78967 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122220120 its reverse (2102222122), we get a palindrome (24224442242).

It can be divided in two parts, 22122 and 220120, that added together give a palindrome (242242).

The spelling of 22122220120 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".