Search a number
-
+
12120230220000 = 25354756351257
BaseRepresentation
bin1011000001011111011000…
…0001000101000011100000
31120220200102200110002202120
42300113312001011003200
53042034212414020000
641435542404544240
72360441414015160
oct260276601050340
946820380402676
1012120230220000
113953184a92691
121438b946b2080
1369bc184b23b6
142dc89d7325a0
1516041d1ee6a0
hexb05f60450e0

12120230220000 has 480 divisors, whose sum is σ = 45517911005952. Its totient is φ = 2765363712000.

The previous prime is 12120230219989. The next prime is 12120230220011. The reversal of 12120230220000 is 2203202121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12120230219989) and next prime (12120230220011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236434372 + ... + 236485628.

Almost surely, 212120230220000 is an apocalyptic number.

12120230220000 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 12120230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758955502976).

12120230220000 is an abundant number, since it is smaller than the sum of its proper divisors (33397680785952).

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

12120230220000 is an equidigital number, since it uses as much as digits as its factorization.

12120230220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51860 (or 51837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12120230220000 its reverse (2203202121), we get a palindrome (12122433422121).

The spelling of 12120230220000 in words is "twelve trillion, one hundred twenty billion, two hundred thirty million, two hundred twenty thousand".