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122222012220 = 2232572117317257
BaseRepresentation
bin111000111010011111…
…1111110011100111100
3102200110212021112020100
41301310333332130330
54000302313342340
6132051545521100
711554526651100
oct1616477763474
9380425245210
10122222012220
114791a159860
121b82baa3190
13b6aa654cb9
145cb64b3900
1532a50be830
hex1c74ffe73c

122222012220 has 432 divisors, whose sum is σ = 476947886688. Its totient is φ = 25047429120.

The previous prime is 122222012219. The next prime is 122222012221. The reversal of 122222012220 is 22210222221.

122222012220 is a `hidden beast` number, since 1 + 222 + 220 + 1 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (122222012219) and next prime (122222012221).

It is a super-2 number, since 2×1222220122202 (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 = 122222012193 and 122222012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222012221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7073832 + ... + 7091088.

It is an arithmetic number, because the mean of its divisors is an integer number (1104046034).

Almost surely, 2122222012220 is an apocalyptic number.

122222012220 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 122222012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238473943344).

122222012220 is an abundant number, since it is smaller than the sum of its proper divisors (354725874468).

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

122222012220 is a wasteful number, since it uses less digits than its factorization.

122222012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17370 (or 17358 counting only the distinct ones).

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

Adding to 122222012220 its reverse (22210222221), we get a palindrome (144432234441).

The spelling of 122222012220 in words is "one hundred twenty-two billion, two hundred twenty-two million, twelve thousand, two hundred twenty".