Search a number
-
+
120100211120 = 2456124610699
BaseRepresentation
bin110111111011010000…
…1111100100110110000
3102110222222201212022102
41233312201330212300
53431431123223440
6131101232155532
711451123644051
oct1576641744660
9373888655272
10120100211120
1146a3049022a
121b339398ba8
13b42cba2ca6
145b54790728
1531cdb9cb15
hex1bf687c9b0

120100211120 has 40 divisors (see below), whose sum is σ = 283810592400. Its totient is φ = 47252540160.

The previous prime is 120100211113. The next prime is 120100211171. The reversal of 120100211120 is 21112001021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1201002111202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12300470 + ... + 12310229.

It is an arithmetic number, because the mean of its divisors is an integer number (7095264810).

Almost surely, 2120100211120 is an apocalyptic number.

120100211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100211120 is an abundant number, since it is smaller than the sum of its proper divisors (163710381280).

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

120100211120 is a wasteful number, since it uses less digits than its factorization.

120100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610773 (or 24610767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100211120 its reverse (21112001021), we get a palindrome (141212212141).

The spelling of 120100211120 in words is "one hundred twenty billion, one hundred million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 24610699 49221398 98442796 123053495 196885592 246106990 393771184 492213980 984427960 1501252639 1968855920 3002505278 6005010556 7506263195 12010021112 15012526390 24020042224 30025052780 60050105560 120100211120