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12132301332000 = 253533727325003
BaseRepresentation
bin1011000010001100010110…
…0000101101111000100000
31120221211120221101010102210
42300203011200231320200
53042233423120111000
641445300254442120
72361346510536423
oct260430540557040
946854527333383
1012132301332000
1139583098a4803
12143b3a3203340
136a00c02b4915
142dd2c69819ba
151608c7d1a350
hexb08c582de20

12132301332000 has 192 divisors, whose sum is σ = 40819621175424. Its totient is φ = 3147840230400.

The previous prime is 12132301331959. The next prime is 12132301332059. The reversal of 12132301332000 is 23310323121.

It is a super-2 number, since 2×121323013320002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13218502 + ... + 14106501.

It is an arithmetic number, because the mean of its divisors is an integer number (212602193622).

Almost surely, 212132301332000 is an apocalyptic number.

12132301332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132301332000 is an abundant number, since it is smaller than the sum of its proper divisors (28687319843424).

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

12132301332000 is a wasteful number, since it uses less digits than its factorization.

12132301332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27325068 (or 27325050 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12132301332000 its reverse (23310323121), we get a palindrome (12155611655121).

The spelling of 12132301332000 in words is "twelve trillion, one hundred thirty-two billion, three hundred one million, three hundred thirty-two thousand".