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11122200120 = 2335563164627
BaseRepresentation
bin10100101101110111…
…10100111000111000
31001201010101022021210
422112323310320320
5140234240400440
65035351203120
7542422066263
oct122673647070
931633338253
1011122200120
114798212629
1221a49764a0
131083341b05
147771ddcda
1545167ba80
hex296ef4e38

11122200120 has 64 divisors (see below), whose sum is σ = 33426069120. Its totient is φ = 2960633984.

The previous prime is 11122200101. The next prime is 11122200169. The reversal of 11122200120 is 2100222111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11122200096 and 11122200105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14754 + ... + 149873.

It is an arithmetic number, because the mean of its divisors is an integer number (522282330).

Almost surely, 211122200120 is an apocalyptic number.

11122200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122200120 is an abundant number, since it is smaller than the sum of its proper divisors (22303869000).

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

11122200120 is a wasteful number, since it uses less digits than its factorization.

11122200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165204 (or 165200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122200120 its reverse (2100222111), we get a palindrome (13222422231).

The spelling of 11122200120 in words is "eleven billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 11260 13512 16890 22520 33780 67560 164627 329254 493881 658508 823135 987762 1317016 1646270 1975524 2469405 3292540 3951048 4938810 6585080 9877620 19755240 92685001 185370002 278055003 370740004 463425005 556110006 741480008 926850010 1112220012 1390275015 1853700020 2224440024 2780550030 3707400040 5561100060 11122200120