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230012230021200 = 2432521143191707219
BaseRepresentation
bin110100010011000111100101…
…010000111011000001010000
31010011101221202210021021011200
4310103013211100323001100
5220122010021341134300
62133110054300311200
766306556324332354
oct6423074520730120
91104357683237150
10230012230021200
116731a703493340
1221969ab2542500
139b460a23cb763
1440b2919387464
151b8d22c8c3200
hexd131e543b050

230012230021200 has 720 divisors, whose sum is σ = 895687318056960. Its totient is φ = 54178556544000.

The previous prime is 230012230021193. The next prime is 230012230021207. The reversal of 230012230021200 is 2120032210032.

230012230021200 is a `hidden beast` number, since 2 + 30 + 0 + 122 + 300 + 212 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230012230021193) and next prime (230012230021207).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230012230021207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324881191 + ... + 325588409.

It is an arithmetic number, because the mean of its divisors is an integer number (1244010163968).

Almost surely, 2230012230021200 is an apocalyptic number.

230012230021200 is a gapful number since it is divisible by the number (20) 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 230012230021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447843659028480).

230012230021200 is an abundant number, since it is smaller than the sum of its proper divisors (665675088035760).

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

230012230021200 is a wasteful number, since it uses less digits than its factorization.

230012230021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707488 (or 707474 counting only the distinct ones).

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

Adding to 230012230021200 its reverse (2120032210032), we get a palindrome (232132262231232).

The spelling of 230012230021200 in words is "two hundred thirty trillion, twelve billion, two hundred thirty million, twenty-one thousand, two hundred".