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122193580272 = 2432545699589
BaseRepresentation
bin111000111001101001…
…1100001000011110000
3102200101212210000221020
41301303103201003300
54000223024032042
6132045052255440
711554033203111
oct1616323410360
9380355700836
10122193580272
11479050aa485
121b822471580
13b6a47ab96a
145cb27d2208
1532a28553ec
hex1c734e10f0

122193580272 has 20 divisors (see below), whose sum is σ = 315666749160. Its totient is φ = 40731193408.

The previous prime is 122193580259. The next prime is 122193580279. The reversal of 122193580272 is 272085391221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122193580279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1272849747 + ... + 1272849842.

It is an arithmetic number, because the mean of its divisors is an integer number (15783337458).

Almost surely, 2122193580272 is an apocalyptic number.

122193580272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122193580272 is an abundant number, since it is smaller than the sum of its proper divisors (193473168888).

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

122193580272 is a wasteful number, since it uses less digits than its factorization.

122193580272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545699600 (or 2545699594 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 122193580272 in words is "one hundred twenty-two billion, one hundred ninety-three million, five hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2545699589 5091399178 7637098767 10182798356 15274197534 20365596712 30548395068 40731193424 61096790136 122193580272