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122660245248 = 28317711131171
BaseRepresentation
bin111001000111100011…
…1101100111100000000
3102201121101220001221020
41302033013230330000
54002202010321443
6132203242425440
711601430611312
oct1621707547400
9381541801836
10122660245248
1148024568812
121b932802280
13b74a391a98
145d1878b7b2
1532cd7d6583
hex1c8f1ecf00

122660245248 has 288 divisors, whose sum is σ = 353930798592. Its totient is φ = 37571788800.

The previous prime is 122660245247. The next prime is 122660245297. The reversal of 122660245248 is 842542066221.

122660245248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122660245247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104747703 + ... + 104748873.

It is an arithmetic number, because the mean of its divisors is an integer number (1228926384).

Almost surely, 2122660245248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122660245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176965399296).

122660245248 is an abundant number, since it is smaller than the sum of its proper divisors (231270553344).

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

122660245248 is a wasteful number, since it uses less digits than its factorization.

122660245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 122660245248 in words is "one hundred twenty-two billion, six hundred sixty million, two hundred forty-five thousand, two hundred forty-eight".