Search a number
-
+
1222212122000 = 24532110128961
BaseRepresentation
bin10001110010010001100…
…001001111010110010000
311022211202001201211010122
4101302101201033112100
5130011042300401000
62333250531245412
7154205361424142
oct21622141172620
94284661654118
101222212122000
11431378975111
12178a58449868
138b33c37966c
1443226524c92
1521bd4c6a085
hex11c9184f590

1222212122000 has 80 divisors (see below), whose sum is σ = 2955551015664. Its totient is φ = 488844800000.

The previous prime is 1222212121957. The next prime is 1222212122009. The reversal of 1222212122000 is 2212122221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 253113634816 + 969098487184 = 503104^2 + 984428^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1222212122000.

It is not an unprimeable number, because it can be changed into a prime (1222212122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42187520 + ... + 42216480.

Almost surely, 21222212122000 is an apocalyptic number.

1222212122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222212122000 is an abundant number, since it is smaller than the sum of its proper divisors (1733338893664).

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

1222212122000 is a wasteful number, since it uses less digits than its factorization.

1222212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50085 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1222212122000 its reverse (2212122221), we get a palindrome (1224424244221).

The spelling of 1222212122000 in words is "one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 21101 28961 42202 57922 84404 105505 115844 144805 168808 211010 231688 289610 337616 422020 463376 527525 579220 724025 844040 1055050 1158440 1448050 1688080 2110100 2316880 2637625 2896100 3620125 4220200 5275250 5792200 7240250 8440400 10550500 11584400 14480500 21101000 28961000 42202000 57922000 611106061 1222212122 2444424244 3055530305 4888848488 6111060610 9777696976 12222121220 15277651525 24444242440 30555303050 48888484880 61110606100 76388257625 122221212200 152776515250 244442424400 305553030500 611106061000 1222212122000