Search a number
-
+
123020022100120 = 2357687140008593
BaseRepresentation
bin11011111110001011010100…
…101101111011000010011000
3121010120121011212011101022021
4123332023110231323002120
5112111030001124200440
61113350341251304224
734624621554402055
oct3376132455730230
9533517155141267
10123020022100120
113621a553394072
121196a1305ab074
13538497a0a17a2
1422542b516202c
15e35076a2d84a
hex6fe2d4b7b098

123020022100120 has 32 divisors (see below), whose sum is σ = 276798657417120. Its totient is φ = 49207367472640.

The previous prime is 123020022100099. The next prime is 123020022100121. The reversal of 123020022100120 is 21001220020321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123020022100094 and 123020022100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020022100121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16929457 + ... + 23079136.

It is an arithmetic number, because the mean of its divisors is an integer number (8649958044285).

Almost surely, 2123020022100120 is an apocalyptic number.

123020022100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123020022100120 is an abundant number, since it is smaller than the sum of its proper divisors (153778635317000).

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

123020022100120 is a wasteful number, since it uses less digits than its factorization.

123020022100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40085475 (or 40085471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123020022100120 its reverse (21001220020321), we get a palindrome (144021242120441).

The spelling of 123020022100120 in words is "one hundred twenty-three trillion, twenty billion, twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 76871 153742 307484 384355 614968 768710 1537420 3074840 40008593 80017186 160034372 200042965 320068744 400085930 800171860 1600343720 3075500552503 6151001105006 12302002210012 15377502762515 24604004420024 30755005525030 61510011050060 123020022100120