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212330121132320 = 255191132572405063
BaseRepresentation
bin110000010001110011110101…
…011100011111100100100000
31000211210120011012212020210022
4300101303311130133210200
5210312304042002213240
62031331035553053012
762503226224550042
oct6021636534374440
91024716135766708
10212330121132320
1161722775a42a34
121b992bbbb57168
13916284bca4889
143a60b92cc1a92
1519832d8c239b5
hexc11cf571f920

212330121132320 has 192 divisors, whose sum is σ = 534777332302080. Its totient is φ = 79439544188928.

The previous prime is 212330121132317. The next prime is 212330121132343. The reversal of 212330121132320 is 23231121033212.

It is a self number, because there is not a number n which added to its sum of digits gives 212330121132320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87082109 + ... + 89487171.

It is an arithmetic number, because the mean of its divisors is an integer number (2785298605740).

Almost surely, 2212330121132320 is an apocalyptic number.

212330121132320 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 212330121132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267388666151040).

212330121132320 is an abundant number, since it is smaller than the sum of its proper divisors (322447211169760).

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

212330121132320 is a wasteful number, since it uses less digits than its factorization.

212330121132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405467 (or 2405459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 212330121132320 its reverse (23231121033212), we get a palindrome (235561242165532).

The spelling of 212330121132320 in words is "two hundred twelve trillion, three hundred thirty billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".