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128040120 = 2332513109251
BaseRepresentation
bin1111010000110…
…11110010111000
322220221010000200
413220123302320
5230234240440
620412202200
73113215545
oct750336270
9286833020
10128040120
116630348a
1236a69360
13206b06b0
141300dbcc
15b392c30
hex7a1bcb8

128040120 has 192 divisors, whose sum is σ = 454053600. Its totient is φ = 31104000.

The previous prime is 128040109. The next prime is 128040127. The reversal of 128040120 is 21040821.

It is a super-2 number, since 2×1280401202 = 32788544659228800, which contains 22 as substring.

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 = 128040093 and 128040102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128040127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509995 + ... + 510245.

Almost surely, 2128040120 is an apocalyptic number.

128040120 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 128040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227026800).

128040120 is an abundant number, since it is smaller than the sum of its proper divisors (326013480).

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

128040120 is a wasteful number, since it uses less digits than its factorization.

128040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128040120 is about 11315.4814303237. The cubic root of 128040120 is about 504.0210686582.

Adding to 128040120 its reverse (21040821), we get a palindrome (149080941).

The spelling of 128040120 in words is "one hundred twenty-eight million, forty thousand, one hundred twenty".