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12002123023033 = 11131747857312253
BaseRepresentation
bin1010111010100111011001…
…0001111000001010111001
31120111101120120220211220011
42232221312101320022321
53033120321443214113
641305411005501521
72346060540266023
oct256516621701271
946441516824804
1012002123023033
1139080876084a0
12141a1128718a1
13690a454abb30
142d6c9793d013
1515c3094d463d
hexaea764782b9

12002123023033 has 64 divisors (see below), whose sum is σ = 15250510420992. Its totient is φ = 9275732398080.

The previous prime is 12002123023021. The next prime is 12002123023069. The reversal of 12002123023033 is 33032032120021.

It is a cyclic number.

It is not a de Polignac number, because 12002123023033 - 217 = 12002122891961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002123022995 and 12002123023013.

It is not an unprimeable number, because it can be changed into a prime (12002123024033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979519135 + ... + 979531387.

It is an arithmetic number, because the mean of its divisors is an integer number (238289225328).

Almost surely, 212002123023033 is an apocalyptic number.

12002123023033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12002123023033 is a deficient number, since it is larger than the sum of its proper divisors (3248387397959).

12002123023033 is a wasteful number, since it uses less digits than its factorization.

12002123023033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20914.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12002123023033 its reverse (33032032120021), we get a palindrome (45034155143054).

The spelling of 12002123023033 in words is "twelve trillion, two billion, one hundred twenty-three million, twenty-three thousand, thirty-three".

Divisors: 1 11 13 17 47 143 187 221 517 611 799 2431 6721 8573 8789 10387 12253 94303 111449 114257 134783 145741 159289 208301 402931 575891 1225939 1603151 1752179 1894633 2291311 2707913 4432241 5238103 6334801 6849827 7486583 9790147 20840963 29787043 57619133 75348097 82352413 89047751 105044969 107691617 127271911 979525261 1155494659 1365584597 1399991021 1785764473 4937113543 15021430567 19643409203 23214938149 54308248973 64182476059 83930930231 255364319639 706007236649 923240232541 1091102093003 12002123023033