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22101122220120 = 23325532879402341
BaseRepresentation
bin1010000011001110100011…
…00010100000000001011000
32220020211212012121101110200
411001213101202200001120
510344101044242020440
6115001040531142200
74440516261145146
oct501472142400130
986224765541420
1022101122220120
117051040355569
12258b419144960
13c441859b82c8
145659b2c12596
15284d7a872c30
hex1419d18a0058

22101122220120 has 192 divisors, whose sum is σ = 73209506572800. Its totient is φ = 5780409123840.

The previous prime is 22101122220103. The next prime is 22101122220143. The reversal of 22101122220120 is 2102222110122.

It is a happy number.

22101122220120 is a `hidden beast` number, since 2 + 210 + 11 + 222 + 201 + 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 = 22101122220093 and 22101122220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54730150 + ... + 55132490.

It is an arithmetic number, because the mean of its divisors is an integer number (381299513400).

Almost surely, 222101122220120 is an apocalyptic number.

22101122220120 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 22101122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604753286400).

22101122220120 is an abundant number, since it is smaller than the sum of its proper divisors (51108384352680).

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

22101122220120 is a wasteful number, since it uses less digits than its factorization.

22101122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405290 (or 405283 counting only the distinct ones).

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

Adding to 22101122220120 its reverse (2102222110122), we get a palindrome (24203344330242).

It can be divided in two parts, 22101 and 122220120, that added together give a palindrome (122242221).

The spelling of 22101122220120 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".