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112122121221 = 32112611687849
BaseRepresentation
bin110100001101011111…
…1111100110000000101
3101201101222112220102100
41220122333330300011
53314111230334341
6123301434102313
711046330206535
oct1503277746005
9351358486370
10112122121221
1143607018200
121989157a999
13a75b061836
1455d8d8b4c5
152db357e3b6
hex1a1affcc05

112122121221 has 36 divisors (see below), whose sum is σ = 180934144300. Its totient is φ = 66838780800.

The previous prime is 112122121183. The next prime is 112122121261. The reversal of 112122121221 is 122121221211.

It can be written as a sum of positive squares in 2 ways, for example, as 11446004196 + 100676117025 = 106986^2 + 317295^2 .

It is not a de Polignac number, because 112122121221 - 213 = 112122113029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112122121194 and 112122121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122121261) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777496 + ... + 910353.

Almost surely, 2112122121221 is an apocalyptic number.

112122121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122121221 is a deficient number, since it is larger than the sum of its proper divisors (68812023079).

112122121221 is a wasteful number, since it uses less digits than its factorization.

112122121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687938 (or 1687924 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 112122121221 its reverse (122121221211), we get a palindrome (234243342432).

The spelling of 112122121221 in words is "one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 671 1089 2013 6039 7381 22143 66429 1687849 5063547 15190641 18566339 55699017 102958789 167097051 204229729 308876367 612689187 926629101 1132546679 1838067561 3397640037 10192920111 12458013469 37374040407 112122121221