Search a number
-
+
12300003300000 = 253551331101737
BaseRepresentation
bin1011001011111101000101…
…0100111101001010100000
31121112212110101012210021210
42302333101110331022200
53103010401321100000
642054313221550120
72406434356001013
oct262772124751240
947485411183253
1012300003300000
113a12447225479
1214679a6275340
136b2b68105550
1430747533d37a
15164e40a32350
hexb2fd153d2a0

12300003300000 has 576 divisors, whose sum is σ = 44863586546688. Its totient is φ = 2929996800000.

The previous prime is 12300003299993. The next prime is 12300003300017. The reversal of 12300003300000 is 330000321.

It is a happy number.

12300003300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 120849132 + ... + 120950868.

It is an arithmetic number, because the mean of its divisors is an integer number (77888171088).

Almost surely, 212300003300000 is an apocalyptic number.

12300003300000 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 12300003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22431793273344).

12300003300000 is an abundant number, since it is smaller than the sum of its proper divisors (32563583246688).

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

12300003300000 is a wasteful number, since it uses less digits than its factorization.

12300003300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101819 (or 101791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 12300003300000 its reverse (330000321), we get a palindrome (12300333300321).

The spelling of 12300003300000 in words is "twelve trillion, three hundred billion, three million, three hundred thousand".