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12120303000 = 233531317101181
BaseRepresentation
bin10110100100110110…
…10010010110011000
31011021200111012001010
423102123102112120
5144310244144000
65322404053520
7606231606231
oct132233222630
934250435033
1012120303000
11515a660043
1224230942a0
1311b2066630
1482d9b6088
154ae0d5d50
hex2d26d2598

12120303000 has 512 divisors, whose sum is σ = 43787278080. Its totient is φ = 2764800000.

The previous prime is 12120302993. The next prime is 12120303011. The reversal of 12120303000 is 30302121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66962910 + ... + 66963090.

Almost surely, 212120303000 is an apocalyptic number.

12120303000 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 12120303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893639040).

12120303000 is an abundant number, since it is smaller than the sum of its proper divisors (31666975080).

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

12120303000 is a wasteful number, since it uses less digits than its factorization.

12120303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12120303000 its reverse (30302121), we get a palindrome (12150605121).

It can be divided in two parts, 1212030 and 3000, that multiplied together give a square (3636090000 = 603002).

The spelling of 12120303000 in words is "twelve billion, one hundred twenty million, three hundred three thousand".