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12202212330 = 23357112229233
BaseRepresentation
bin10110101110100111…
…01111101111101010
31011111101121121112000
423113103233233222
5144442231243310
65334451431430
7611245044030
oct132723575752
934441547460
1012202212330
1151a1915800
1224465b5576
1311c6014aa9
1483a818550
154b63b54c0
hex2d74efbea

12202212330 has 384 divisors, whose sum is σ = 41230425600. Its totient is φ = 2513617920.

The previous prime is 12202212307. The next prime is 12202212331. The reversal of 12202212330 is 3321220221.

12202212330 is a `hidden beast` number, since 122 + 0 + 2 + 212 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12202212331) 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 191 ways as a sum of consecutive naturals, for example, 52369894 + ... + 52370126.

It is an arithmetic number, because the mean of its divisors is an integer number (107370900).

Almost surely, 212202212330 is an apocalyptic number.

12202212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615212800).

12202212330 is an abundant number, since it is smaller than the sum of its proper divisors (29028213270).

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

12202212330 is a wasteful number, since it uses less digits than its factorization.

12202212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12202212330 its reverse (3321220221), we get a palindrome (15523432551).

The spelling of 12202212330 in words is "twelve billion, two hundred two million, two hundred twelve thousand, three hundred thirty".