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4025121120 = 253351922989
BaseRepresentation
bin1110111111101010…
…0111100101100000
3101101111222100011000
43233322213211200
531220412333440
61503224152000
7201513651666
oct35772474540
911344870130
104025121120
111786092089
12944008600
134c1ba8a97
142a2812c36
15188588730
hexefea7960

4025121120 has 576 divisors, whose sum is σ = 15553944000. Its totient is φ = 970776576.

The previous prime is 4025121083. The next prime is 4025121143. The reversal of 4025121120 is 211215204.

4025121120 is a `hidden beast` number, since 40 + 2 + 512 + 112 + 0 = 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 = 4025121093 and 4025121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45226036 + ... + 45226124.

It is an arithmetic number, because the mean of its divisors is an integer number (27003375).

Almost surely, 24025121120 is an apocalyptic number.

4025121120 is a gapful number since it is divisible by the number (40) 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 4025121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776972000).

4025121120 is an abundant number, since it is smaller than the sum of its proper divisors (11528822880).

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

4025121120 is a wasteful number, since it uses less digits than its factorization.

4025121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

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

The square root of 4025121120 is about 63443.8422543906. The cubic root of 4025121120 is about 1590.7172271498.

Adding to 4025121120 its reverse (211215204), we get a palindrome (4236336324).

The spelling of 4025121120 in words is "four billion, twenty-five million, one hundred twenty-one thousand, one hundred twenty".