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12220200221201 = 72939726539517
BaseRepresentation
bin1011000111010011110010…
…1100010111101000010001
31121021020110202122100101122
42301310330230113220101
53100203432224034301
641553514341012025
72400610645011500
oct261647454275021
947236422570348
1012220200221201
113991615499195
1214544343b4015
136a848aa1a56b
143036647c4837
15162d1e9b081b
hexb1d3cb17a11

12220200221201 has 12 divisors (see below), whose sum is σ = 14216848239348. Its totient is φ = 10473342278112.

The previous prime is 12220200221191. The next prime is 12220200221233. The reversal of 12220200221201 is 10212200202221.

It is a happy number.

12220200221201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2495376264976 + 9724823956225 = 1579676^2 + 3118465^2 .

It is not a de Polignac number, because 12220200221201 - 26 = 12220200221137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12220200221201.

It is not an unprimeable number, because it can be changed into a prime (12220200224201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12809306 + ... + 13730211.

It is an arithmetic number, because the mean of its divisors is an integer number (1184737353279).

Almost surely, 212220200221201 is an apocalyptic number.

It is an amenable number.

12220200221201 is a deficient number, since it is larger than the sum of its proper divisors (1996648018147).

12220200221201 is an equidigital number, since it uses as much as digits as its factorization.

12220200221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26548928 (or 26548921 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12220200221201 its reverse (10212200202221), we get a palindrome (22432400423422).

The spelling of 12220200221201 in words is "twelve trillion, two hundred twenty billion, two hundred million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 7 49 9397 65779 460453 26539517 185776619 1300436333 249391841249 1745742888743 12220200221201