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230122012032000 = 21032531167271043
BaseRepresentation
bin110100010100101101110100…
…110010000011110000000000
31010011210110010200111020120200
4310110231310302003300000
5220130304340040011000
62133232332022005200
766320523661122654
oct6424556462036000
91104713120436520
10230122012032000
1167362219583990
1221987230276800
139b535496b326a
1440b7d71624a64
151b910057ab500
hexd14b74c83c00

230122012032000 has 1056 divisors, whose sum is σ = 918154463825664. Its totient is φ = 54954307584000.

The previous prime is 230122012031987. The next prime is 230122012032001. The reversal of 230122012032000 is 230210221032.

230122012032000 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 220 + 120 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×2301220120320002 (a number of 30 digits) contains 22 as substring.

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 (230122012032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 848888479 + ... + 849159521.

Almost surely, 2230122012032000 is an apocalyptic number.

230122012032000 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 230122012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459077231912832).

230122012032000 is an abundant number, since it is smaller than the sum of its proper divisors (688032451793664).

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

230122012032000 is a wasteful number, since it uses less digits than its factorization.

230122012032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271162 (or 271131 counting only the distinct ones).

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

Adding to 230122012032000 its reverse (230210221032), we get a palindrome (230352222253032).

The spelling of 230122012032000 in words is "two hundred thirty trillion, one hundred twenty-two billion, twelve million, thirty-two thousand".