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120896000225 = 5271113173189103
BaseRepresentation
bin111000010010111110…
…1101001000011100001
3102120001110011010201222
41300211331221003201
53440043334001400
6131312220504425
711506626021650
oct1604575510341
9376043133658
10120896000225
11472a9705380
121b51b9ab115
13b528a10310
145bcc341197
153228992185
hex1c25f690e1

120896000225 has 384 divisors, whose sum is σ = 224625623040. Its totient is φ = 62042112000.

The previous prime is 120896000219. The next prime is 120896000233. The reversal of 120896000225 is 522000698021.

It is a happy number.

It is not a de Polignac number, because 120896000225 - 26 = 120896000161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1173747524 + ... + 1173747626.

It is an arithmetic number, because the mean of its divisors is an integer number (584962560).

Almost surely, 2120896000225 is an apocalyptic number.

It is an amenable number.

120896000225 is a deficient number, since it is larger than the sum of its proper divisors (103729622815).

120896000225 is a wasteful number, since it uses less digits than its factorization.

120896000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 120896000225 its reverse (522000698021), we get a palindrome (642896698246).

The spelling of 120896000225 in words is "one hundred twenty billion, eight hundred ninety-six million, two hundred twenty-five", and thus it is an aban number.