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122210000000000 = 210510112101
BaseRepresentation
bin11011110010011000111011…
…101000110101010000000000
3121000201011101000200012112022
4123302120323220311100000
5112004242040000000000
61111530255434421012
734512244504221203
oct3362307350652000
9530634330605468
10122210000000000
1135a37a73aa0200
1211859149891768
13532647999a673
142226dd1b6393a
15e1de68965585
hex6f263ba35400

122210000000000 has 726 divisors, whose sum is σ = 338984392471662. Its totient is φ = 44000000000000.

The previous prime is 122209999999991. The next prime is 122210000000057. The reversal of 122210000000000 is 12221.

It can be written as a sum of positive squares in 11 ways, for example, as 68954558464 + 122141045441536 = 262592^2 + 11051744^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 1209999999950 + ... + 1210000000050.

Almost surely, 2122210000000000 is an apocalyptic number.

122210000000000 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 122210000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169492196235831).

122210000000000 is an abundant number, since it is smaller than the sum of its proper divisors (216774392471662).

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

122210000000000 is an frugal number, since it uses more digits than its factorization.

122210000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122210000000000 its reverse (12221), we get a palindrome (122210000012221).

122210000000000 divided by its reverse (12221) gives a 10-th power (10000000000 = 1010).

The spelling of 122210000000000 in words is "one hundred twenty-two trillion, two hundred ten billion", and thus it is an aban number.