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120112211021 = 1121117788813
BaseRepresentation
bin110111111011100111…
…1101110010001001101
3102111000211022112002012
41233313033232101031
53431442211223041
6131102341311005
711451330643145
oct1576717562115
9374024275065
10120112211021
1146a37236a00
121b341405465
13b432514c1a
145b561d5925
1531cec6d3eb
hex1bf73ee44d

120112211021 has 12 divisors (see below), whose sum is σ = 132037464636. Its totient is φ = 109181920320.

The previous prime is 120112211003. The next prime is 120112211039.

120112211021 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (120112211003) and next prime (120112211039).

It can be written as a sum of positive squares in 2 ways, for example, as 115793881225 + 4318329796 = 340285^2 + 65714^2 .

It is not a de Polignac number, because 120112211021 - 26 = 120112210957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120112210987 and 120112211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112211321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308011 + ... + 1396823.

It is an arithmetic number, because the mean of its divisors is an integer number (11003122053).

Almost surely, 2120112211021 is an apocalyptic number.

120112211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120112211021 is a deficient number, since it is larger than the sum of its proper divisors (11925253615).

120112211021 is a wasteful number, since it uses less digits than its factorization.

120112211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100012 (or 100001 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 120112 and 211021, that added together give a palindrome (331133).

The spelling of 120112211021 in words is "one hundred twenty billion, one hundred twelve million, two hundred eleven thousand, twenty-one".

Divisors: 1 11 121 11177 88813 122947 976943 1352417 10746373 992662901 10919291911 120112211021