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12102340682520 = 233251119172193463
BaseRepresentation
bin1011000000011100101110…
…1101111010001100011000
31120211222020221010102211100
42300013023231322030120
53041241043203320040
641423423310031400
72356236166322214
oct260071355721430
946758227112740
1012102340682520
113946634898370
1214356214a8560
1369a32711986a
142dba8385b944
1515ec228b5b30
hexb01cbb7a318

12102340682520 has 384 divisors, whose sum is σ = 45193358246400. Its totient is φ = 2777840179200.

The previous prime is 12102340682519. The next prime is 12102340682561. The reversal of 12102340682520 is 2528604320121.

12102340682520 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 340 + 68 + 252 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129441309 + ... + 129534771.

It is an arithmetic number, because the mean of its divisors is an integer number (117691037100).

Almost surely, 212102340682520 is an apocalyptic number.

12102340682520 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 12102340682520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22596679123200).

12102340682520 is an abundant number, since it is smaller than the sum of its proper divisors (33091017563880).

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

12102340682520 is a wasteful number, since it uses less digits than its factorization.

12102340682520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95231 (or 95224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12102340682520 in words is "twelve trillion, one hundred two billion, three hundred forty million, six hundred eighty-two thousand, five hundred twenty".