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122627575140 = 2235711314917341
BaseRepresentation
bin111001000110100101…
…1000100110101100100
3102201112010102020222020
41302031023010311210
54002120124401030
6132200114303140
711600553122220
oct1621513046544
9381463366866
10122627575140
1148008084224
121b923887ab0
13b743693665
145d142c5780
1532ca9d1510
hex1c8d2c4d64

122627575140 has 192 divisors, whose sum is σ = 398560780800. Its totient is φ = 27593072640.

The previous prime is 122627575129. The next prime is 122627575151. The reversal of 122627575140 is 41575726221.

It is an interprime number because it is at equal distance from previous prime (122627575129) and next prime (122627575151).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 122627575092 and 122627575101.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7062870 + ... + 7080210.

It is an arithmetic number, because the mean of its divisors is an integer number (2075837400).

Almost surely, 2122627575140 is an apocalyptic number.

122627575140 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 122627575140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199280390400).

122627575140 is an abundant number, since it is smaller than the sum of its proper divisors (275933205660).

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

122627575140 is a wasteful number, since it uses less digits than its factorization.

122627575140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17622 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 122627575140 in words is "one hundred twenty-two billion, six hundred twenty-seven million, five hundred seventy-five thousand, one hundred forty".