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122012022020200 = 235213593145154539
BaseRepresentation
bin11011101111100000100011…
…001110110001100001101000
3121000000020100121011210021221
4123233200203032301201220
5111443021110114121300
61111255314335311424
734462035435160624
oct3357404316614150
9530006317153257
10122012022020200
113597100a646784
12118268b737b574
1353108b8565660
14221b5b0430184
15e18c2cca331a
hex6ef8233b1868

122012022020200 has 192 divisors, whose sum is σ = 306231021835200. Its totient is φ = 44942802432000.

The previous prime is 122012022020173. The next prime is 122012022020209. The reversal of 122012022020200 is 2020220210221.

It is not an unprimeable number, because it can be changed into a prime (122012022020209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2237124531 + ... + 2237179069.

It is an arithmetic number, because the mean of its divisors is an integer number (1594953238725).

Almost surely, 2122012022020200 is an apocalyptic number.

122012022020200 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 122012022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115510917600).

122012022020200 is an abundant number, since it is smaller than the sum of its proper divisors (184218999815000).

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

122012022020200 is a wasteful number, since it uses less digits than its factorization.

122012022020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56612 (or 56603 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122012022020200 its reverse (2020220210221), we get a palindrome (124032242230421).

The spelling of 122012022020200 in words is "one hundred twenty-two trillion, twelve billion, twenty-two million, twenty thousand, two hundred".