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122112145360 = 2455441280537
BaseRepresentation
bin111000110111001110…
…0110111011111010000
3102200012012112201020101
41301232130313133100
54000041202122420
6132033023022144
711552024052412
oct1615634673720
9380165481211
10122112145360
11478731391a7
121b7bb13a954
13b69096841a
145ca5a749b2
15329a61b60a
hex1c6e7377d0

122112145360 has 40 divisors (see below), whose sum is σ = 283963930056. Its totient is φ = 48835706880.

The previous prime is 122112145349. The next prime is 122112145381. The reversal of 122112145360 is 63541211221.

It can be written as a sum of positive squares in 4 ways, for example, as 3674299456 + 118437845904 = 60616^2 + 344148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1221121453602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295012 + ... + 575548.

Almost surely, 2122112145360 is an apocalyptic number.

122112145360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112145360 is an abundant number, since it is smaller than the sum of its proper divisors (161851784696).

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

122112145360 is a wasteful number, since it uses less digits than its factorization.

122112145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285991 (or 285985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 122112145360 its reverse (63541211221), we get a palindrome (185653356581).

The spelling of 122112145360 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5441 10882 21764 27205 43528 54410 87056 108820 217640 280537 435280 561074 1122148 1402685 2244296 2805370 4488592 5610740 11221480 22442960 1526401817 3052803634 6105607268 7632009085 12211214536 15264018170 24422429072 30528036340 61056072680 122112145360