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122010020020200 = 2335213711012181329
BaseRepresentation
bin11011101111011110101011…
…111001101111111111101000
3121000000001012002001122120210
4123233132223321233333220
5111443003010111121300
61111254343541421120
734461635015356134
oct3357365371577750
9530001162048523
10122010020020200
1135970182563524
1211826438a0a7a0
13531065986ab80
14221b4605b43c4
15e18b62148050
hex6ef7abe6ffe8

122010020020200 has 384 divisors, whose sum is σ = 417152663020800. Its totient is φ = 29317048320000.

The previous prime is 122010020020183. The next prime is 122010020020241. The reversal of 122010020020200 is 2020020010221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54843136 + ... + 57024464.

It is an arithmetic number, because the mean of its divisors is an integer number (1086335059950).

Almost surely, 2122010020020200 is an apocalyptic number.

122010020020200 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 122010020020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208576331510400).

122010020020200 is an abundant number, since it is smaller than the sum of its proper divisors (295142643000600).

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

122010020020200 is a wasteful number, since it uses less digits than its factorization.

122010020020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181533 (or 2181524 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122010020020200 its reverse (2020020010221), we get a palindrome (124030040030421).

The spelling of 122010020020200 in words is "one hundred twenty-two trillion, ten billion, twenty million, twenty thousand, two hundred".