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12102321231000 = 233253711133736307
BaseRepresentation
bin1011000000011100101010…
…0011101101010010011000
31120211222012120112012100200
42300013022203231102120
53041241023213343000
641423421333102200
72356235542066230
oct260071243552230
946758176465320
1012102321231000
113946624912130
121435616a87960
1369a323098ca0
142dba81036cc0
1515ec20d22500
hexb01ca8ed498

12102321231000 has 1536 divisors, whose sum is σ = 56408480593920. Its totient is φ = 2258523648000.

The previous prime is 12102321230957. The next prime is 12102321231017. The reversal of 12102321231000 is 13212320121.

12102321231000 is a `hidden beast` number, since 1 + 210 + 232 + 123 + 100 + 0 = 666.

It is a super-2 number, since 2×121023212310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333314847 + ... + 333351153.

It is an arithmetic number, because the mean of its divisors is an integer number (36724271220).

Almost surely, 212102321231000 is an apocalyptic number.

12102321231000 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 12102321231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28204240296960).

12102321231000 is an abundant number, since it is smaller than the sum of its proper divisors (44306159362920).

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

12102321231000 is a wasteful number, since it uses less digits than its factorization.

12102321231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36402 (or 36385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12102321231000 its reverse (13212320121), we get a palindrome (12115533551121).

It can be divided in two parts, 12102321 and 231000, that added together give a palindrome (12333321).

The spelling of 12102321231000 in words is "twelve trillion, one hundred two billion, three hundred twenty-one million, two hundred thirty-one thousand".