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122202120222 = 2327131937106123
BaseRepresentation
bin111000111001111010…
…0000110000000011110
3102200102110211220112200
41301303310012000132
54000232220321342
6132045555312330
711554165611660
oct1616364060036
9380373756480
10122202120222
1147909a02696
121b8252ab6a6
13b6a64abaa0
145cb39b6530
1532a349094c
hex1c73d0601e

122202120222 has 192 divisors, whose sum is σ = 352297720320. Its totient is φ = 29707368192.

The previous prime is 122202120149. The next prime is 122202120247. The reversal of 122202120222 is 222021202221.

122202120222 is a `hidden beast` number, since 12 + 220 + 212 + 0 + 222 = 666.

122202120222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×1222021202225 (a number of 57 digits) contains 55555 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 = 122202120195 and 122202120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098453 + ... + 1204575.

It is an arithmetic number, because the mean of its divisors is an integer number (1834883960).

Almost surely, 2122202120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176148860160).

122202120222 is an abundant number, since it is smaller than the sum of its proper divisors (230095600098).

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

122202120222 is a wasteful number, since it uses less digits than its factorization.

122202120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106207 (or 106204 counting only the distinct ones).

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

Adding to 122202120222 its reverse (222021202221), we get a palindrome (344223322443).

The spelling of 122202120222 in words is "one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, two hundred twenty-two".