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12126970183680 = 22234511259
BaseRepresentation
bin1011000001111000011111…
…0000000000000000000000
31120221022211101212201210000
42300132013300000000000
53042142013331334210
641443015253440000
72361100424532102
oct260360760000000
946838741781700
1012126970183680
113956023579100
12143a355940000
1369c7509706a1
142dcd3c91d572
151606b4ca0ac0
hexb0787c00000

12126970183680 has 1380 divisors, whose sum is σ = 48599226882360. Its totient is φ = 2890043228160.

The previous prime is 12126970183667. The next prime is 12126970183721. The reversal of 12126970183680 is 8638107962121.

12126970183680 is a `hidden beast` number, since 1 + 2 + 1 + 269 + 7 + 0 + 18 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205541867491 + ... + 205541867549.

Almost surely, 212126970183680 is an apocalyptic number.

12126970183680 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 12126970183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299613441180).

12126970183680 is an abundant number, since it is smaller than the sum of its proper divisors (36472256698680).

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

12126970183680 is an frugal number, since it uses more digits than its factorization.

12126970183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12126970183680 in words is "twelve trillion, one hundred twenty-six billion, nine hundred seventy million, one hundred eighty-three thousand, six hundred eighty".