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120210000200 = 23524378717761
BaseRepresentation
bin110111111110100010…
…0110000100101001000
3102111021122022201121122
41233331010300211020
53432142230001300
6131120153254412
711453626066613
oct1577504604510
9374248281548
10120210000200
1146a87458404
121b36a104408
13b449863344
145b651ad17a
1531d8637c85
hex1bfd130948

120210000200 has 96 divisors (see below), whose sum is σ = 286367489760. Its totient is φ = 46903449600.

The previous prime is 120210000193. The next prime is 120210000257. The reversal of 120210000200 is 2000012021.

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 23 ways as a sum of consecutive naturals, for example, 6759320 + ... + 6777080.

It is an arithmetic number, because the mean of its divisors is an integer number (2982994685).

Almost surely, 2120210000200 is an apocalyptic number.

120210000200 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 120210000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143183744880).

120210000200 is an abundant number, since it is smaller than the sum of its proper divisors (166157489560).

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

120210000200 is a wasteful number, since it uses less digits than its factorization.

120210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18607 (or 18598 counting only the distinct ones).

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

Adding to 120210000200 its reverse (2000012021), we get a palindrome (122210012221).

The spelling of 120210000200 in words is "one hundred twenty billion, two hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 787 860 1075 1574 1720 2150 3148 3935 4300 6296 7870 8600 15740 17761 19675 31480 33841 35522 39350 67682 71044 78700 88805 135364 142088 157400 169205 177610 270728 338410 355220 444025 676820 710440 763723 846025 888050 1353640 1527446 1692050 1776100 3054892 3384100 3552200 3818615 6109784 6768200 7637230 13977907 15274460 19093075 27955814 30548920 38186150 55911628 69889535 76372300 111823256 139779070 152744600 279558140 349447675 559116280 601050001 698895350 1202100002 1397790700 2404200004 2795581400 3005250005 4808400008 6010500010 12021000020 15026250025 24042000040 30052500050 60105000100 120210000200