Search a number
-
+
22022112120120 = 23325715157873731
BaseRepresentation
bin1010000000111011011000…
…01010111000110100111000
32212222021220212011102222200
411000131230022320310320
510341302241200320440
6114500452454350200
74432021316320320
oct500355412706470
985867825142880
1022022112120120
1170205861a3a62
12257804895b360
13c398a3995448
14561c39716280
15282ca423cc30
hex14076c2b8d38

22022112120120 has 192 divisors, whose sum is σ = 82338115991040. Its totient is φ = 5000290272000.

The previous prime is 22022112120109. The next prime is 22022112120149. The reversal of 22022112120120 is 2102121122022.

It is a happy number.

22022112120120 is a `hidden beast` number, since 220 + 2 + 211 + 212 + 0 + 1 + 20 = 666.

It is a super-2 number, since 2×220221121201202 (a number of 27 digits) contains 22 as substring.

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 = 22022112120093 and 22022112120102.

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, 28556346 + ... + 29317385.

It is an arithmetic number, because the mean of its divisors is an integer number (428844354120).

Almost surely, 222022112120120 is an apocalyptic number.

22022112120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022112120120 is an abundant number, since it is smaller than the sum of its proper divisors (60316003870920).

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

22022112120120 is a wasteful number, since it uses less digits than its factorization.

22022112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57873906 (or 57873899 counting only the distinct ones).

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

Adding to 22022112120120 its reverse (2102121122022), we get a palindrome (24124233242142).

The spelling of 22022112120120 in words is "twenty-two trillion, twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".