Search a number
-
+
12120200112000 = 273533710976221
BaseRepresentation
bin1011000001011111010000…
…1110001110011110000000
31120220200100120210110100110
42300113310032032132000
53042034132212041000
641435535411351320
72360440600056561
oct260276416163600
946820316713313
1012120200112000
113953169a99042
121438b865b2540
1369bc121a0206
142dc899736168
1516041a753850
hexb05f438e780

12120200112000 has 512 divisors, whose sum is σ = 41308622559360. Its totient is φ = 3141328896000.

The previous prime is 12120200111983. The next prime is 12120200112011. The reversal of 12120200112000 is 21100202121.

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 63 ways as a sum of consecutive naturals, for example, 1948268890 + ... + 1948275110.

Almost surely, 212120200112000 is an apocalyptic number.

12120200112000 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 12120200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20654311279680).

12120200112000 is an abundant number, since it is smaller than the sum of its proper divisors (29188422447360).

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

12120200112000 is a wasteful number, since it uses less digits than its factorization.

12120200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7387 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120200112000 its reverse (21100202121), we get a palindrome (12141300314121).

The spelling of 12120200112000 in words is "twelve trillion, one hundred twenty billion, two hundred million, one hundred twelve thousand".