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122222102220 = 223253724761173
BaseRepresentation
bin111000111010100000…
…0010100011011001100
3102200110212110002200200
41301311000110123030
54000302324232340
6132051551453500
711554530504351
oct1616500243314
9380425402620
10122222102220
114791a210439
121b82bb27290
13b6aa686c5a
145cb64d8628
1532a50db330
hex1c750146cc

122222102220 has 432 divisors, whose sum is σ = 397803788928. Its totient is φ = 30351697920.

The previous prime is 122222102131. The next prime is 122222102231. The reversal of 122222102220 is 22201222221.

122222102220 is a `hidden beast` number, since 1 + 222 + 221 + 0 + 2 + 220 = 666.

It is a super-2 number, since 2×1222221022202 (a number of 23 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 = 122222102193 and 122222102202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 706486054 + ... + 706486226.

It is an arithmetic number, because the mean of its divisors is an integer number (920842104).

Almost surely, 2122222102220 is an apocalyptic number.

122222102220 is a gapful number since it is divisible by the number (10) 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 122222102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198901894464).

122222102220 is an abundant number, since it is smaller than the sum of its proper divisors (275581686708).

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

122222102220 is a wasteful number, since it uses less digits than its factorization.

122222102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122222102220 its reverse (22201222221), we get a palindrome (144423324441).

The spelling of 122222102220 in words is "one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty".