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10422123120 = 2433531317491
BaseRepresentation
bin10011011010011010…
…01111101001110000
3222220100001201012000
421231031033221300
5132321030414440
64442102134000
7516161404413
oct115515175160
928810051160
1010422123120
1144690203a2
12202a421300
13ca12a6676
1470c245b7a
1540ee91730
hex26d34fa70

10422123120 has 320 divisors, whose sum is σ = 37249044480. Its totient is φ = 2675635200.

The previous prime is 10422123119. The next prime is 10422123161. The reversal of 10422123120 is 2132122401.

It is a happy number.

10422123120 is a `hidden beast` number, since 1 + 0 + 422 + 123 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10422123093 and 10422123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21226075 + ... + 21226565.

It is an arithmetic number, because the mean of its divisors is an integer number (116403264).

Almost surely, 210422123120 is an apocalyptic number.

10422123120 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 10422123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624522240).

10422123120 is an abundant number, since it is smaller than the sum of its proper divisors (26826921360).

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

10422123120 is a wasteful number, since it uses less digits than its factorization.

10422123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10422123120 its reverse (2132122401), we get a palindrome (12554245521).

The spelling of 10422123120 in words is "ten billion, four hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".