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120410000000 = 275712041
BaseRepresentation
bin111000000100011111…
…1101100101010000000
3102111210120122202202122
41300020333230222000
53433044430000000
6131152100103412
711461605053453
oct1601077545200
9374716582678
10120410000000
114707a3401a4
121b405094b68
13b47c11a514
145b8399149a
1531eae92085
hex1c08feca80

120410000000 has 128 divisors (see below), whose sum is σ = 299873255760. Its totient is φ = 48160000000.

The previous prime is 120409999943. The next prime is 120410000033. The reversal of 120410000000 is 14021.

It can be written as a sum of positive squares in 8 ways, for example, as 105718620736 + 14691379264 = 325144^2 + 121208^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993980 + ... + 10006020.

Almost surely, 2120410000000 is an apocalyptic number.

120410000000 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 120410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149936627880).

120410000000 is an abundant number, since it is smaller than the sum of its proper divisors (179463255760).

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

120410000000 is an frugal number, since it uses more digits than its factorization.

120410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120410000000 its reverse (14021), we get a palindrome (120410014021).

The spelling of 120410000000 in words is "one hundred twenty billion, four hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12041 12500 15625 16000 20000 24082 25000 31250 40000 48164 50000 60205 62500 78125 80000 96328 100000 120410 125000 156250 192656 200000 240820 250000 301025 312500 385312 400000 481640 500000 602050 625000 770624 963280 1000000 1204100 1250000 1505125 1541248 1926560 2000000 2408200 2500000 3010250 3853120 4816400 5000000 6020500 7525625 7706240 9632800 10000000 12041000 15051250 19265600 24082000 30102500 37628125 38531200 48164000 60205000 75256250 96328000 120410000 150512500 188140625 192656000 240820000 301025000 376281250 481640000 602050000 752562500 940703125 963280000 1204100000 1505125000 1881406250 2408200000 3010250000 3762812500 4816400000 6020500000 7525625000 12041000000 15051250000 24082000000 30102500000 60205000000 120410000000