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12000011000021 = 1121413229157799
BaseRepresentation
bin1010111010011111100001…
…1001001001100011010101
31120111012010101202221222122
42232213320121021203111
53033102010304000041
641304421241505325
72345654313345362
oct256477031114325
946435111687878
1012000011000021
1139071a3408330
1214198234a2245
13690799a71685
142d6b37243469
1515c233d94c4b
hexae9f86498d5

12000011000021 has 16 divisors (see below), whose sum is σ = 13101174576000. Its totient is φ = 10900559601600.

The previous prime is 12000010999981. The next prime is 12000011000039.

12000011000021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12000011000021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000010999972 and 12000011000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000011060021) 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 15 ways as a sum of consecutive naturals, for example, 75967280 + ... + 76125078.

It is an arithmetic number, because the mean of its divisors is an integer number (818823411000).

Almost surely, 212000011000021 is an apocalyptic number.

12000011000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000011000021 is a deficient number, since it is larger than the sum of its proper divisors (1101163575979).

12000011000021 is a wasteful number, since it uses less digits than its factorization.

12000011000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163180.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1200001 and 1000021, that multiplied together give a palindrome (1200026200021).

The spelling of 12000011000021 in words is "twelve trillion, eleven million, twenty-one", and thus it is an aban number and an uban number.

Divisors: 1 11 2141 3229 23551 35519 157799 1735789 6913289 76046179 337847659 509532971 3716324249 5604862681 1090910090911 12000011000021