Search a number
-
+
1220101221200 = 245214920471497
BaseRepresentation
bin10001110000010011101…
…100110010101101010000
311022122021221200221121112
4101300103230302231100
5124442231403034300
62332301243312452
7154102150156331
oct21602354625520
94278257627545
101220101221200
114304953710a4
1217856951b728
138b093c42c34
14430a603c288
1521b0e79ce35
hex11c13b32b50

1220101221200 has 60 divisors (see below), whose sum is σ = 2950966436700. Its totient is φ = 484765025280.

The previous prime is 1220101221169. The next prime is 1220101221203. The reversal of 1220101221200 is 21221010221.

It can be written as a sum of positive squares in 6 ways, for example, as 15744226576 + 1204356994624 = 125476^2 + 1097432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220101221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10176149 + ... + 10295348.

It is an arithmetic number, because the mean of its divisors is an integer number (49182773945).

Almost surely, 21220101221200 is an apocalyptic number.

1220101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220101221200 is an abundant number, since it is smaller than the sum of its proper divisors (1730865215500).

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

1220101221200 is a wasteful number, since it uses less digits than its factorization.

1220101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20471664 (or 20471653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220101221200 its reverse (21221010221), we get a palindrome (1241322231421).

The spelling of 1220101221200 in words is "one trillion, two hundred twenty billion, one hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 20471497 40942994 81885988 102357485 163771976 204714970 327543952 409429940 511787425 818859880 1023574850 1637719760 2047149700 3050253053 4094299400 6100506106 8188598800 12201012212 15251265265 24402024424 30502530530 48804048848 61005061060 76256326325 122010122120 152512652650 244020244240 305025305300 610050610600 1220101221200