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120041041120 = 255711213611117
BaseRepresentation
bin110111111001100000…
…0001110110011100000
3102110211212101201022221
41233303000032303200
53431321001303440
6131051320040424
711446505004550
oct1576300166340
9373755351287
10120041041120
1146a00046a00
121b321603114
13b420856a60
145b4a98b160
1531c88b0d4a
hex1bf300ece0

120041041120 has 576 divisors, whose sum is σ = 390296769408. Its totient is φ = 33940684800.

The previous prime is 120041041069. The next prime is 120041041199. The reversal of 120041041120 is 21140140021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120041041094 and 120041041103.

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, 107466802 + ... + 107467918.

It is an arithmetic number, because the mean of its divisors is an integer number (677598558).

Almost surely, 2120041041120 is an apocalyptic number.

120041041120 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 120041041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148384704).

120041041120 is an abundant number, since it is smaller than the sum of its proper divisors (270255728288).

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

120041041120 is a wasteful number, since it uses less digits than its factorization.

120041041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120041041120 its reverse (21140140021), we get a palindrome (141181181141).

The spelling of 120041041120 in words is "one hundred twenty billion, forty-one million, forty-one thousand, one hundred twenty".