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12030331200030 = 232511136797143831
BaseRepresentation
bin1010111100010000011110…
…0111100010001000011110
31120121002101110120201012100
42233010013213202020132
53034101104241400110
641330354032545530
72351106551655063
oct257040747421036
946532343521170
1012030331200030
113919042372370
1214236856b22a6
136935bc587a20
142d83b1ddcc6a
1515ce0ab6cbc0
hexaf1079e221e

12030331200030 has 384 divisors, whose sum is σ = 37680412363776. Its totient is φ = 2624563814400.

The previous prime is 12030331200011. The next prime is 12030331200131. The reversal of 12030331200030 is 3000213303021.

12030331200030 is a `hidden beast` number, since 1 + 20 + 303 + 312 + 0 + 0 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12030331199976 and 12030331200012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83570215 + ... + 83714045.

It is an arithmetic number, because the mean of its divisors is an integer number (98126073864).

Almost surely, 212030331200030 is an apocalyptic number.

12030331200030 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 12030331200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840206181888).

12030331200030 is an abundant number, since it is smaller than the sum of its proper divisors (25650081163746).

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

12030331200030 is a wasteful number, since it uses less digits than its factorization.

12030331200030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144032 (or 144029 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12030331200030 its reverse (3000213303021), we get a palindrome (15030544503051).

The spelling of 12030331200030 in words is "twelve trillion, thirty billion, three hundred thirty-one million, two hundred thousand, thirty".