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10425120120 = 23335172127263
BaseRepresentation
bin10011011010110001…
…01011010101111000
3222220112200222022000
421231120223111320
5132322312320440
64442250301000
7516226026132
oct115530532570
928815628260
1010425120120
11446a788058
12202b427760
13ca1ab583c
1470c7c6052
15410384730
hex26d62b578

10425120120 has 384 divisors, whose sum is σ = 37346918400. Its totient is φ = 2586028032.

The previous prime is 10425120113. The next prime is 10425120157. The reversal of 10425120120 is 2102152401.

10425120120 is a `hidden beast` number, since 1 + 0 + 425 + 120 + 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 = 10425120093 and 10425120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39639109 + ... + 39639371.

It is an arithmetic number, because the mean of its divisors is an integer number (97257600).

Almost surely, 210425120120 is an apocalyptic number.

10425120120 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 10425120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673459200).

10425120120 is an abundant number, since it is smaller than the sum of its proper divisors (26921798280).

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

10425120120 is a wasteful number, since it uses less digits than its factorization.

10425120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10425120120 its reverse (2102152401), we get a palindrome (12527272521).

The spelling of 10425120120 in words is "ten billion, four hundred twenty-five million, one hundred twenty thousand, one hundred twenty".