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122022212122120 = 2353050555303053
BaseRepresentation
bin11011101111101010000010…
…100110111011011000001000
3121000001012122202122121020011
4123233222002212323120020
5111443202442300401440
61111304121432441304
734462546111463602
oct3357520246733010
9530035582577204
10122022212122120
11359753696a3112
121182887bb49234
135311850752a6b
14221bc9991a172
15e191276b29ea
hex6efa829bb608

122022212122120 has 16 divisors (see below), whose sum is σ = 274549977274860. Its totient is φ = 48808884848832.

The previous prime is 122022212122117. The next prime is 122022212122241. The reversal of 122022212122120 is 21221212220221.

122022212122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109927633991044 + 12094578131076 = 10484638^2 + 3477726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122022212122091 and 122022212122100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1525277651487 + ... + 1525277651566.

Almost surely, 2122022212122120 is an apocalyptic number.

122022212122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022212122120 is an abundant number, since it is smaller than the sum of its proper divisors (152527765152740).

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

122022212122120 is a wasteful number, since it uses less digits than its factorization.

122022212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050555303064 (or 3050555303060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122022212122120 its reverse (21221212220221), we get a palindrome (143243424342341).

The spelling of 122022212122120 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3050555303053 6101110606106 12202221212212 15252776515265 24404442424424 30505553030530 61011106061060 122022212122120