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12002122133023 = 11179193137323003
BaseRepresentation
bin1010111010100111011000…
…1110011110111000011111
31120111101120112020122000211
42232221312032132320133
53033120321231224043
641305410534433251
72346060526601161
oct256516616367037
946441515218024
1012002122133023
11390808705a850
12141a112502827
13690a452599b9
142d6c9778a931
1515c3093aaa9d
hexaea7639ee1f

12002122133023 has 32 divisors (see below), whose sum is σ = 13244805123840. Its totient is φ = 10785516349440.

The previous prime is 12002122132993. The next prime is 12002122133033. The reversal of 12002122133023 is 32033122120021.

It is a cyclic number.

It is not a de Polignac number, because 12002122133023 - 25 = 12002122132991 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002122132985 and 12002122133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122133033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521751840 + ... + 521774842.

It is an arithmetic number, because the mean of its divisors is an integer number (413900160120).

Almost surely, 212002122133023 is an apocalyptic number.

12002122133023 is a deficient number, since it is larger than the sum of its proper divisors (1242682990817).

12002122133023 is a wasteful number, since it uses less digits than its factorization.

12002122133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24759.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12002122133023 its reverse (32033122120021), we get a palindrome (44035244253044).

The spelling of 12002122133023 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 11 179 193 1373 1969 2123 15103 23003 34547 245767 253033 264989 380017 2703437 2914879 4117537 4439579 31583119 45292907 47433031 48835369 347414309 521763341 794684641 5653378301 6095541967 8741531051 62187161311 67050961637 1091102012093 12002122133023