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122112102220 = 22527701220411
BaseRepresentation
bin111000110111001110…
…0101100111101001100
3102200012012110112001121
41301232130230331030
54000041144232340
6132033022050324
711552023512553
oct1615634547514
9380165415047
10122112102220
1147873109849
121b7bb1199a4
13b6909518b4
145ca5a62d9a
15329a60d94a
hex1c6e72cf4c

122112102220 has 24 divisors (see below), whose sum is σ = 256445835408. Its totient is φ = 48842856000.

The previous prime is 122112102199. The next prime is 122112102241. The reversal of 122112102220 is 22201211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122112102199) and next prime (122112102241).

It is a super-2 number, since 2×1221121022202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112102194 and 122112102203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443815 + ... + 664225.

It is an arithmetic number, because the mean of its divisors is an integer number (10685243142).

Almost surely, 2122112102220 is an apocalyptic number.

122112102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112102220 is an abundant number, since it is smaller than the sum of its proper divisors (134333733188).

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

122112102220 is a wasteful number, since it uses less digits than its factorization.

122112102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248121 (or 248119 counting only the distinct ones).

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

Adding to 122112102220 its reverse (22201211221), we get a palindrome (144313313441).

It can be divided in two parts, 1221 and 12102220, that added together give a square (12103441 = 34792).

The spelling of 122112102220 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 27701 55402 110804 138505 220411 277010 440822 554020 881644 1102055 2204110 4408220 6105605111 12211210222 24422420444 30528025555 61056051110 122112102220