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11202120012 = 2231754912353
BaseRepresentation
bin10100110111011001…
…01100100101001100
31001220200202122202210
422123230230211030
5140420220320022
65051324150420
7544412310006
oct123354544514
931820678683
1011202120012
114829339626
122207698410
131096a748a5
14783a85376
154586b6a0c
hex29bb2c94c

11202120012 has 24 divisors (see below), whose sum is σ = 27675826416. Its totient is φ = 3514390528.

The previous prime is 11202119993. The next prime is 11202120049. The reversal of 11202120012 is 21002120211.

11202120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11202120012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27455973 + ... + 27456380.

It is an arithmetic number, because the mean of its divisors is an integer number (1153159434).

Almost surely, 211202120012 is an apocalyptic number.

11202120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11202120012 is an abundant number, since it is smaller than the sum of its proper divisors (16473706404).

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

11202120012 is a wasteful number, since it uses less digits than its factorization.

11202120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54912377 (or 54912375 counting only the distinct ones).

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

Adding to 11202120012 its reverse (21002120211), we get a palindrome (32204240223).

The spelling of 11202120012 in words is "eleven billion, two hundred two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 54912353 109824706 164737059 219649412 329474118 658948236 933510001 1867020002 2800530003 3734040004 5601060006 11202120012