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12212200400 = 245230530501
BaseRepresentation
bin10110101111110011…
…10110001111010000
31011112002102001120112
423113321312033100
5200002310403100
65335445500452
7611425663541
oct132771661720
934462361515
1012212200400
1151a7517a04
122449a11728
1311c81010aa
1483bc984c8
154b71d9b35
hex2d7e763d0

12212200400 has 30 divisors (see below), whose sum is σ = 29339812422. Its totient is φ = 4884880000.

The previous prime is 12212200379. The next prime is 12212200453. The reversal of 12212200400 is 400221221.

It can be written as a sum of positive squares in 3 ways, for example, as 1113156496 + 11099043904 = 33364^2 + 105352^2 .

It is a congruent number.

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, 15264851 + ... + 15265650.

Almost surely, 212212200400 is an apocalyptic number.

12212200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212200400 is an abundant number, since it is smaller than the sum of its proper divisors (17127612022).

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

12212200400 is a wasteful number, since it uses less digits than its factorization.

12212200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30530519 (or 30530508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12212200400 its reverse (400221221), we get a palindrome (12612421621).

The spelling of 12212200400 in words is "twelve billion, two hundred twelve million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30530501 61061002 122122004 152652505 244244008 305305010 488488016 610610020 763262525 1221220040 1526525050 2442440080 3053050100 6106100200 12212200400