Search a number
-
+
12286799880000 = 26354971055567
BaseRepresentation
bin1011001011001011111001…
…0101111001111101000000
31121111121101012122120001020
42302302332111321331000
53102301331232130000
642044251122505440
72405456232533112
oct262627625717500
947447335576036
1012286799880000
113a07891241618
121465320505280
136b184284c9a9
143069819813b2
1516491b7ecba0
hexb2cbe579f40

12286799880000 has 280 divisors, whose sum is σ = 41041860300672. Its totient is φ = 3242698752000.

The previous prime is 12286799879993. The next prime is 12286799880059. The reversal of 12286799880000 is 8899768221.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11112217 + ... + 12167783.

Almost surely, 212286799880000 is an apocalyptic number.

12286799880000 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 12286799880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520930150336).

12286799880000 is an abundant number, since it is smaller than the sum of its proper divisors (28755060420672).

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

12286799880000 is an equidigital number, since it uses as much as digits as its factorization.

12286799880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055699 (or 1055674 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 12286799880000 in words is "twelve trillion, two hundred eighty-six billion, seven hundred ninety-nine million, eight hundred eighty thousand".