Search a number
-
+
1201222220212 = 227241181825857
BaseRepresentation
bin10001011110101110011…
…011000111100110110100
311020211120020112022220201
4101132232123013212310
5124140100342021322
62315500041010244
7152533256255200
oct21365633074664
94224506468821
101201222220212
1142348769a243
1217497aa83984
138937588c031
14421d499db00
15213a7164d27
hex117ae6c79b4

1201222220212 has 72 divisors (see below), whose sum is σ = 2518830562248. Its totient is φ = 499477708800.

The previous prime is 1201222220153. The next prime is 1201222220221. The reversal of 1201222220212 is 2120222221021.

It can be written as a sum of positive squares in 4 ways, for example, as 343016376976 + 858205843236 = 585676^2 + 926394^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1201222220212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041588 + ... + 1867444.

It is an arithmetic number, because the mean of its divisors is an integer number (34983757809).

Almost surely, 21201222220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201222220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259415281124).

1201222220212 is an abundant number, since it is smaller than the sum of its proper divisors (1317608342036).

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

1201222220212 is a wasteful number, since it uses less digits than its factorization.

1201222220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826097 (or 826088 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1201222220212 its reverse (2120222221021), we get a palindrome (3321444441233).

The spelling of 1201222220212 in words is "one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 181 196 287 362 574 724 1148 1267 2009 2534 4018 5068 7421 8036 8869 14842 17738 29684 35476 51947 103894 207788 363629 727258 825857 1454516 1651714 3303428 5780999 11561998 23123996 33860137 40466993 67720274 80933986 135440548 149480117 161867972 237020959 298960234 474041918 597920468 948083836 1046360819 1659146713 2092721638 3318293426 4185443276 6128684797 6636586852 7324525733 12257369594 14649051466 24514739188 29298102932 42900793579 85801587158 171603174316 300305555053 600611110106 1201222220212