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12220011220212 = 223437716084013
BaseRepresentation
bin1011000111010011000101…
…1011011000110011110100
31121021012222121000002210000
42301310301123120303310
53100203040333021322
641553443510031300
72400603161354265
oct261646133306364
947235877002700
1012220011220212
113991528838a24
1214543a1048530
136a845a814763
1430364766696c
15162d0d0ca3ac
hexb1d316d8cf4

12220011220212 has 30 divisors (see below), whose sum is σ = 31945523159858. Its totient is φ = 4073337073296.

The previous prime is 12220011220147. The next prime is 12220011220213. The reversal of 12220011220212 is 21202211002221.

It is a happy number.

12220011220212 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 11 + 220 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9133475242896 + 3086535977316 = 3022164^2 + 1756854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220011220213) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 18858041683 + ... + 18858042330.

Almost surely, 212220011220212 is an apocalyptic number.

12220011220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220011220212 is an abundant number, since it is smaller than the sum of its proper divisors (19725511939646).

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

12220011220212 is a wasteful number, since it uses less digits than its factorization.

12220011220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37716084029 (or 37716084018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220011220212 its reverse (21202211002221), we get a palindrome (33422222222433).

The spelling of 12220011220212 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 37716084013 75432168026 113148252039 150864336052 226296504078 339444756117 452593008156 678889512234 1018334268351 1357779024468 2036668536702 3055002805053 4073337073404 6110005610106 12220011220212