Search a number
-
+
122545215032240 = 2457211131743299059
BaseRepresentation
bin11011110111010001001000…
…000000101100101110110000
3121001220012121201220012222202
4123313101020000230232300
5112030240100022012430
61112344254500122332
734545412445043200
oct3367211000545660
9531805551805882
10122545215032240
1136057152158430
12118b21006963a8
13534bc6c43b450
142239311b88400
15e27a379ccd45
hex6f744802cbb0

122545215032240 has 960 divisors, whose sum is σ = 421871893470720. Its totient is φ = 32411953889280.

The previous prime is 122545215032237. The next prime is 122545215032269. The reversal of 122545215032240 is 42230512545221.

It is a junction number, because it is equal to n+sod(n) for n = 122545215032194 and 122545215032203.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409619831 + ... + 409918889.

It is an arithmetic number, because the mean of its divisors is an integer number (439449889032).

Almost surely, 2122545215032240 is an apocalyptic number.

122545215032240 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 122545215032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210935946735360).

122545215032240 is an abundant number, since it is smaller than the sum of its proper divisors (299326678438480).

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

122545215032240 is a wasteful number, since it uses less digits than its factorization.

122545215032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299170 (or 299157 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

Adding to 122545215032240 its reverse (42230512545221), we get a palindrome (164775727577461).

The spelling of 122545215032240 in words is "one hundred twenty-two trillion, five hundred forty-five billion, two hundred fifteen million, thirty-two thousand, two hundred forty".