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120210100000 = 25557116931
BaseRepresentation
bin110111111110100010…
…1001000111100100000
3102111021122111210111221
41233331011020330200
53432142241200000
6131120155344424
711453626663564
oct1577505107440
9374248453457
10120210100000
1146a87516391
121b36a152114
13b4498998b3
145b651d76a4
1531d865761a
hex1bfd148f20

120210100000 has 144 divisors (see below), whose sum is σ = 299994674112. Its totient is φ = 47404000000.

The previous prime is 120210099953. The next prime is 120210100033. The reversal of 120210100000 is 1012021.

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 23 ways as a sum of consecutive naturals, for example, 7091535 + ... + 7108465.

It is an arithmetic number, because the mean of its divisors is an integer number (2083296348).

Almost surely, 2120210100000 is an apocalyptic number.

120210100000 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 120210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149997337056).

120210100000 is an abundant number, since it is smaller than the sum of its proper divisors (179784574112).

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

120210100000 is an frugal number, since it uses more digits than its factorization.

120210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17037 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120210100000 its reverse (1012021), we get a palindrome (120211112021).

The spelling of 120210100000 in words is "one hundred twenty billion, two hundred ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 800 1000 1136 1250 1420 1775 2000 2272 2500 2840 3125 3550 4000 5000 5680 6250 7100 8875 10000 11360 12500 14200 16931 17750 20000 25000 28400 33862 35500 44375 50000 56800 67724 71000 84655 88750 100000 135448 142000 169310 177500 221875 270896 284000 338620 355000 423275 443750 541792 677240 710000 846550 887500 1202101 1354480 1420000 1693100 1775000 2116375 2404202 2708960 3386200 3550000 4232750 4808404 6010505 6772400 7100000 8465500 9616808 10581875 12021010 13544800 16931000 19233616 21163750 24042020 30052525 33862000 38467232 42327500 48084040 52909375 60105050 67724000 84655000 96168080 105818750 120210100 150262625 169310000 192336160 211637500 240420200 300525250 338620000 423275000 480840400 601050500 751313125 846550000 961680800 1202101000 1502626250 1693100000 2404202000 3005252500 3756565625 4808404000 6010505000 7513131250 12021010000 15026262500 24042020000 30052525000 60105050000 120210100000