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12130122302320 = 24511234147311009
BaseRepresentation
bin1011000010000100001110…
…1000011000001101110000
31120221121222002010221122211
42300201003220120031300
53042214442302133240
641444300134341504
72361241511230261
oct260410350301560
946847862127584
1012130122302320
1139573a0898530
12143aa954ba894
1369cb33a16249
142dd15b402968
151607eb891bea
hexb0843a18370

12130122302320 has 320 divisors, whose sum is σ = 33586930298880. Its totient is φ = 4028673228800.

The previous prime is 12130122302293. The next prime is 12130122302383. The reversal of 12130122302320 is 2320322103121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12130122302291 and 12130122302300.

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, 38846976 + ... + 39157984.

It is an arithmetic number, because the mean of its divisors is an integer number (104959157184).

Almost surely, 212130122302320 is an apocalyptic number.

12130122302320 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 12130122302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793465149440).

12130122302320 is an abundant number, since it is smaller than the sum of its proper divisors (21456807996560).

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

12130122302320 is a wasteful number, since it uses less digits than its factorization.

12130122302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311144 (or 311138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12130122302320 its reverse (2320322103121), we get a palindrome (14450444405441).

The spelling of 12130122302320 in words is "twelve trillion, one hundred thirty billion, one hundred twenty-two million, three hundred two thousand, three hundred twenty".