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12211411400 = 235261057057
BaseRepresentation
bin10110101111101101…
…10101100111001000
31011112000220222021022
423113312311213020
5200002110131100
65335420532012
7611416166336
oct132766654710
934460828238
1012211411400
1151a7029141
1224496b1008
1311c7bb5c26
1483bb30b56
154b70d0e85
hex2d7db59c8

12211411400 has 24 divisors (see below), whose sum is σ = 28391531970. Its totient is φ = 4884564480.

The previous prime is 12211411349. The next prime is 12211411441. The reversal of 12211411400 is 411411221.

It can be written as a sum of positive squares in 3 ways, for example, as 10744980964 + 1466430436 = 103658^2 + 38294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30528329 + ... + 30528728.

Almost surely, 212211411400 is an apocalyptic number.

12211411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211411400 is an abundant number, since it is smaller than the sum of its proper divisors (16180120570).

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

12211411400 is a wasteful number, since it uses less digits than its factorization.

12211411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61057073 (or 61057064 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12211411400 its reverse (411411221), we get a palindrome (12622822621).

The spelling of 12211411400 in words is "twelve billion, two hundred eleven million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61057057 122114114 244228228 305285285 488456456 610570570 1221141140 1526426425 2442282280 3052852850 6105705700 12211411400