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12140412002007 = 3171571151525967
BaseRepresentation
bin1011000010101010100011…
…1100011101111011010111
31120222121112012000212001020
42300222220330131323113
53042402030433031012
641453121150332223
72362054504231602
oct260525074357327
946877465025036
1012140412002007
1139607a1091173
121440a874ba073
136a0ab3736043
142dd855c17339
15160beedc6a8c
hexb0aa8f1ded7

12140412002007 has 16 divisors (see below), whose sum is σ = 17150315162112. Its totient is φ = 7612664531840.

The previous prime is 12140412001979. The next prime is 12140412002023. The reversal of 12140412002007 is 70020021404121.

It is a cyclic number.

It is not a de Polignac number, because 12140412002007 - 224 = 12140395224791 is a prime.

It is a super-2 number, since 2×121404120020072 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140412052007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75682863 + ... + 75843104.

It is an arithmetic number, because the mean of its divisors is an integer number (1071894697632).

Almost surely, 212140412002007 is an apocalyptic number.

12140412002007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12140412002007 is a deficient number, since it is larger than the sum of its proper divisors (5009903160105).

12140412002007 is a wasteful number, since it uses less digits than its factorization.

12140412002007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151527558.

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 12140412002007 its reverse (70020021404121), we get a palindrome (82160433406128).

The spelling of 12140412002007 in words is "twelve trillion, one hundred forty billion, four hundred twelve million, two thousand, seven".

Divisors: 1 3 17 51 1571 4713 26707 80121 151525967 454577901 2575941439 7727824317 238047294157 714141882471 4046804000669 12140412002007