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122112122120 = 2353052803053
BaseRepresentation
bin111000110111001110…
…0110001110100001000
3102200012012111112100122
41301232130301310020
54000041200401440
6132033022322412
711552023624562
oct1615634616410
9380165445318
10122112122120
114787312279a
121b7bb129408
13b69095a981
145ca5a6a332
15329a6147b5
hex1c6e731d08

122112122120 has 16 divisors (see below), whose sum is σ = 274752274860. Its totient is φ = 48844848832.

The previous prime is 122112122117. The next prime is 122112122269. The reversal of 122112122120 is 21221211221.

It can be written as a sum of positive squares in 2 ways, for example, as 118519078756 + 3593043364 = 344266^2 + 59942^2 .

It is a super-2 number, since 2×1221121221202 (a number of 23 digits) contains 22 as substring.

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, 1526401487 + ... + 1526401566.

Almost surely, 2122112122120 is an apocalyptic number.

122112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112122120 is an abundant number, since it is smaller than the sum of its proper divisors (152640152740).

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

122112122120 is a wasteful number, since it uses less digits than its factorization.

122112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052803064 (or 3052803060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112122120 its reverse (21221211221), we get a palindrome (143333333341).

The spelling of 122112122120 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3052803053 6105606106 12211212212 15264015265 24422424424 30528030530 61056061060 122112122120