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12213023400 = 23335243149353
BaseRepresentation
bin10110101111111001…
…11111001010101000
31011112010221212112000
423113330333022220
5200003013222100
65335515251000
7611435662134
oct132774771250
934463855460
1012213023400
1151a7a2a276
12244a149a60
1311c832b886
1483c0303c4
154b72ed900
hex2d7f3f2a8

12213023400 has 384 divisors, whose sum is σ = 43457040000. Its totient is φ = 3150766080.

The previous prime is 12213023393. The next prime is 12213023413. The reversal of 12213023400 is 432031221.

12213023400 is a `hidden beast` number, since 1 + 2 + 21 + 302 + 340 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34597624 + ... + 34597976.

It is an arithmetic number, because the mean of its divisors is an integer number (113169375).

Almost surely, 212213023400 is an apocalyptic number.

12213023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728520000).

12213023400 is an abundant number, since it is smaller than the sum of its proper divisors (31244016600).

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

12213023400 is a wasteful number, since it uses less digits than its factorization.

12213023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

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

Adding to 12213023400 its reverse (432031221), we get a palindrome (12645054621).

It can be divided in two parts, 122130 and 23400, that added together give a triangular number (145530 = T539).

The spelling of 12213023400 in words is "twelve billion, two hundred thirteen million, twenty-three thousand, four hundred".