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12011211211021 = 1173137238345817
BaseRepresentation
bin1010111011001001001111…
…1110100100000100001101
31120112021000221221122002021
42232302103332210010031
53033242430032223041
641313512501130141
72346532003514641
oct256622376440415
946467027848067
1012011211211021
113910a20662660
12141ba2a3b9951
136918632c8369
142d74ba94cc21
1515c68c2d0cd1
hexaec93fa410d

12011211211021 has 32 divisors (see below), whose sum is σ = 13385494844928. Its totient is φ = 10686373079040.

The previous prime is 12011211211003. The next prime is 12011211211037.

12011211211021 is nontrivially palindromic in base 10.

12011211211021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12011211211021 - 27 = 12011211210893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011211210986 and 12011211211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011211211421) 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, 262133305 + ... + 262179121.

It is an arithmetic number, because the mean of its divisors is an integer number (418296713904).

Almost surely, 212011211211021 is an apocalyptic number.

12011211211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011211211021 is a deficient number, since it is larger than the sum of its proper divisors (1374283633907).

12011211211021 is a wasteful number, since it uses less digits than its factorization.

12011211211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48421.

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1201121 and 1211021, that added together give a palindrome (2412142).

The spelling of 12011211211021 in words is "twelve trillion, eleven billion, two hundred eleven million, two hundred eleven thousand, twenty-one".

Divisors: 1 11 73 137 803 1507 2383 10001 26213 45817 110011 173959 326471 503987 1913549 3344641 3591181 6276929 23832383 36791051 69046219 109181911 262156213 458215817 1201001021 5040373987 7970279503 14957921807 87673074533 164537139877 1091928291911 12011211211021