Search a number
-
+
124211450000 = 245511225839
BaseRepresentation
bin111001110101110010…
…1000101000010010000
3102212121111202102211002
41303223211011002100
54013341112400000
6133021214241132
711655034622201
oct1635345050220
9385544672732
10124211450000
1148750141910
12200a61b61a8
13b936871911
1460247bd5a8
15336ea978d5
hex1ceb945090

124211450000 has 120 divisors (see below), whose sum is σ = 328152746880. Its totient is φ = 45167600000.

The previous prime is 124211449993. The next prime is 124211450009. The reversal of 124211450000 is 54112421.

It is a happy number.

It is a super-2 number, since 2×1242114500002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (124211450009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437081 + ... + 662919.

It is an arithmetic number, because the mean of its divisors is an integer number (2734606224).

Almost surely, 2124211450000 is an apocalyptic number.

124211450000 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 124211450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164076373440).

124211450000 is an abundant number, since it is smaller than the sum of its proper divisors (203941296880).

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

124211450000 is an equidigital number, since it uses as much as digits as its factorization.

124211450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225883 (or 225857 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 124211450000 its reverse (54112421), we get a palindrome (124265562421).

The spelling of 124211450000 in words is "one hundred twenty-four billion, two hundred eleven million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 22000 25000 27500 34375 50000 55000 68750 110000 137500 225839 275000 451678 550000 903356 1129195 1806712 2258390 2484229 3613424 4516780 4968458 5645975 9033560 9936916 11291950 12421145 18067120 19873832 22583900 24842290 28229875 39747664 45167800 49684580 56459750 62105725 90335600 99369160 112919500 124211450 141149375 198738320 225839000 248422900 282298750 310528625 451678000 496845800 564597500 621057250 705746875 993691600 1129195000 1242114500 1411493750 1552643125 2258390000 2484229000 2822987500 3105286250 4968458000 5645975000 6210572500 7763215625 11291950000 12421145000 15526431250 24842290000 31052862500 62105725000 124211450000