Search a number
-
+
12120212202000 = 243537431669551
BaseRepresentation
bin1011000001011111010011…
…1100010110001000010000
31120220200101102112200201020
42300113310330112020100
53042034143310431000
641435540522435440
72360441104612440
oct260276474261020
946820342480636
1012120212202000
1139531758a6481
121438b8a662b80
1369bc14844166
142dc89b1a2120
1516041b840ba0
hexb05f4f16210

12120212202000 has 320 divisors, whose sum is σ = 44761468796928. Its totient is φ = 2763902400000.

The previous prime is 12120212201989. The next prime is 12120212202013. The reversal of 12120212202000 is 20221202121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17767225 + ... + 18436775.

Almost surely, 212120212202000 is an apocalyptic number.

12120212202000 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 12120212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22380734398464).

12120212202000 is an abundant number, since it is smaller than the sum of its proper divisors (32641256594928).

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

12120212202000 is a wasteful number, since it uses less digits than its factorization.

12120212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670015 (or 669999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12120212202000 its reverse (20221202121), we get a palindrome (12140433404121).

The spelling of 12120212202000 in words is "twelve trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand".