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122452341120 = 27325314714591
BaseRepresentation
bin111001000001010111…
…0100111000110000000
3102201001220200110002100
41302002232213012000
54001240244403440
6132130454350400
711563324503654
oct1620256470600
9381056613070
10122452341120
1147a2817731a
121b89505b400
13b71629aba5
145cd8d0ca64
1532ba41a230
hex1c82ba7180

122452341120 has 384 divisors, whose sum is σ = 445800775680. Its totient is φ = 30926131200.

The previous prime is 122452341119. The next prime is 122452341233. The reversal of 122452341120 is 21143254221.

122452341120 is a `hidden beast` number, since 1 + 2 + 24 + 523 + 4 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8385025 + ... + 8399615.

It is an arithmetic number, because the mean of its divisors is an integer number (1160939520).

Almost surely, 2122452341120 is an apocalyptic number.

122452341120 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 122452341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222900387840).

122452341120 is an abundant number, since it is smaller than the sum of its proper divisors (323348434560).

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

122452341120 is a wasteful number, since it uses less digits than its factorization.

122452341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122452341120 its reverse (21143254221), we get a palindrome (143595595341).

It can be divided in two parts, 12245 and 2341120, that added together give a triangular number (2353365 = T2169).

The spelling of 122452341120 in words is "one hundred twenty-two billion, four hundred fifty-two million, three hundred forty-one thousand, one hundred twenty".