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122007060 = 22345722953
BaseRepresentation
bin1110100010110…
…10111000010100
322111120121020000
413101122320110
5222213211220
620035011300
73011020500
oct721327024
9274517200
10122007060
116296278a
1234a39b30
131c37a636
14122bd300
15aaa0390
hex745ae14

122007060 has 360 divisors, whose sum is σ = 469271880. Its totient is φ = 26417664.

The previous prime is 122007059. The next prime is 122007077. The reversal of 122007060 is 60700221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 99082116 = 4788^2 + 9954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2301994 + ... + 2302046.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533).

Almost surely, 2122007060 is an apocalyptic number.

122007060 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 122007060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635940).

122007060 is an abundant number, since it is smaller than the sum of its proper divisors (347264820).

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

122007060 is a wasteful number, since it uses less digits than its factorization.

122007060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122007060 is about 11045.6806037473. The cubic root of 122007060 is about 495.9771332243.

Adding to 122007060 its reverse (60700221), we get a palindrome (182707281).

The spelling of 122007060 in words is "one hundred twenty-two million, seven thousand, sixty".