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12220001100112 = 241373804794593
BaseRepresentation
bin1011000111010011000011…
…0100110010000101010000
31121021012221212221221121111
42301310300310302011100
53100203030240200422
641553442505103104
72400603006344521
oct261646064620520
947235855857544
1012220001100112
113991523056603
121454399787a94
136a84586b0330
14303646190848
15162d0c27ba77
hexb1d30d32150

12220001100112 has 40 divisors (see below), whose sum is σ = 25846783180904. Its totient is φ = 5562740219904.

The previous prime is 12220001100071. The next prime is 12220001100113. The reversal of 12220001100112 is 21100110002221.

It can be written as a sum of positive squares in 4 ways, for example, as 3684464894016 + 8535536206096 = 1919496^2 + 2921564^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12220001100092 and 12220001100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220001100113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402382113 + ... + 402412480.

Almost surely, 212220001100112 is an apocalyptic number.

It is an amenable number.

12220001100112 is an abundant number, since it is smaller than the sum of its proper divisors (13626782080792).

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

12220001100112 is a wasteful number, since it uses less digits than its factorization.

12220001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804794687 (or 804794681 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12220001100112 its reverse (21100110002221), we get a palindrome (33320111102333).

The spelling of 12220001100112 in words is "twelve trillion, two hundred twenty billion, one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 804794593 1609589186 3219178372 6438356744 10462329709 12876713488 20924659418 41849318836 58750005289 83698637672 117500010578 167397275344 235000021156 470000042312 763750068757 940000084624 1527500137514 3055000275028 6110000550056 12220001100112